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Morrey Spaces sentence examples within initial data u0

initial data u0

For small initial data u0 belonging to the Fourier-Besov-Morrey spaces with variable exponent, we obtain the global well-posedness results of generalized porous medium equation by using the Fourier localization principle and the Littlewood-Paley decomposition technique.

Global Well-Posedness and Analyticity of Generalized Porous Medium Equation in Fourier-Besov-Morrey Spaces with Variable Exponent

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Morrey Spaces sentence examples within integral operators generated

integral operators generated

We in generalized Orlicz-Morrey spaces integral operators generated by Calderon-Zygmund operator and their commutators with BMO functions considered.

The Regularity of Solutions Higher Order Nondivergence Elliptic Equations with VMO Coefficients in Orlicz-Morrey Spaces

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Morrey Spaces sentence examples within Generalized Morrey Spaces

Generalized Morrey Spaces

We derive the Calderon–Zygmund property in generalized Morrey spaces for the strong solutions to 2 b -order linear parabolic systems with discontinuous principal coefficients.

Generalized Morrey regularity of 2b-parabolic systems

Generalized Morrey Spaces

The aim of this paper is to establish the characterizations of boundedness and compactness for the commutator operators of Cauchy–Fantappie type integrals with $$L^1(b\Omega ,d\lambda )$$ functions on the generalized Morrey spaces $$L^{p}_\varrho (b\Omega ,d\lambda )$$ , with $$p\in (1, \infty )$$.

Commutators of Cauchy–Fantappiè Type Integrals on Generalized Morrey Spaces on Complex Ellipsoids

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Morrey Spaces sentence examples within Weighted Morrey Spaces

Weighted Morrey Spaces

In particular, we can obtain strong type and endpoint estimates of vector-valued intrinsic square functions and their commutators in the weighted Morrey spaces and the generalized Morrey spaces.

Weighted Estimates for Vector-Valued Intrinsic Square Functions and Commutators in the Morrey-Type Spaces

Weighted Morrey Spaces

In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent generalized weighted Morrey spaces and the variable exponent vanishing generalized weighted Morrey spaces.

Weighted Estimates of Variable Kernel Fractional Integral and Its Commutators on Vanishing Generalized Morrey Spaces with Variable Exponent

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Morrey Spaces sentence examples within Exponent Morrey Spaces

Exponent Morrey Spaces

In this paper, we study the boundedness of the operators T and $$T_{\vec {b}}$$ on generalized weighted variable exponent Morrey spaces $$M^{p(\cdot ),\varphi }(w)$$ with the weight function w belonging to variable Muckenhoupt’s class $$A_{p(\cdot )}({{\mathbb {R}}^n})$$.

Calderón-Zygmund operators with kernels of Dini’s type on generalized weighted variable exponent Morrey spaces

Exponent Morrey Spaces

In this paper, we study the boundedness of multilinear commutators of Calderon–Zygmund operators $$T_{\mathbf {b}}$$ on generalized variable exponent Morrey spaces $$M^{p(\cdot ), \varphi }$$.

Multilinear commutators of Calderón–Zygmund operator on generalized variable exponent Morrey spaces

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Morrey Spaces sentence examples within Grand Morrey Spaces

Grand Morrey Spaces

We obtain boundedness criteria in terms of Muckenhoupt weights for the Hardy–Littlewood maximal operator and Riesz transforms in weighted grand Morrey spaces $$M^{p),q,\varphi}_w$$.

On the Boundedness of Integral Operators in Weighted Grand Morrey Spaces

Grand Morrey Spaces

In this paper, we study the boundedness of some sublinear operators with rough kernels, satisfied by most of the operators in classical harmonic analysis, on the generalized weighted grand Morrey spaces.

Boundedness for Sublinear Operators with Rough Kernels on Weighted Grand Morrey Spaces

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Morrey Spaces sentence examples within Central Morrey Spaces

Central Morrey Spaces

9 We establish the sharp boundedness of -adic multilinear Hausdorff operators on the product of Lebesgue and central Morrey spaces associated with both power weights and Muckenhoupt weights.

Weighted Lebesgue and central Morrey estimates for -adic multilinear Hausdorff operators and its commutators

Central Morrey Spaces

org/1998/Math/MathML" id="M4"> <mi>p</mi> </math> </jats:inline-formula>-adic central Morrey spaces.

Boundedness for Commutators of Rough p -Adic Hardy Operator on p -Adic Central Morrey Spaces

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Morrey Spaces sentence examples within Local Morrey Spaces

Local Morrey Spaces

We show that the calculation of the sum of local Morrey spaces can be reduced to the calculation of the sum of sequence spaces that appear as parameters in the definition of local Morrey spaces.

Sharp Extrapolation Theorems for Local Morrey Spaces

Local Morrey Spaces

This paper establishes the mapping properties of the singular integral operators, the Littlewood-Paley functions and the maximal Bochner-Riesz means on the Hardy local Morrey spaces with variable exponents by using extrapolation theory.

Singular integral operators and sublinear operators on Hardy local Morrey spaces with variable exponents

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Morrey Spaces sentence examples within Smoothnes Morrey Spaces

Smoothnes Morrey Spaces

We study the compact embedding between smoothness Morrey spaces on bounded domains and characterise its entropy numbers and approximation numbers in some cases.

Some quantitative result on compact embeddings in smoothness Morrey spaces on bounded domains; an approach via interpolation

Smoothnes Morrey Spaces

We study traces on the boundary of generalized smoothness Morrey spaces on C k domains Ω.

Traces and extensions of generalized smoothness Morrey spaces on domains

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Morrey Spaces sentence examples within Vanishing Morrey Spaces

Vanishing Morrey Spaces

We give the description of the first and second complex interpolation of vanishing Morrey spaces, introduced in \cite{AS, CF}.

Complex interpolation of vanishing Morrey spaces.

Vanishing Morrey Spaces

We give a proof of the boundedness of the Bergman projection in generalized variable-exponent vanishing Morrey spaces over the unit disc and the upper half-plane.

On Singular Operators in Vanishing Generalized Variable-Exponent Morrey Spaces and Applications to Bergman-Type Spaces

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Morrey Spaces sentence examples within Suitable Morrey Spaces

Suitable Morrey Spaces

The nonlinear terms are given by Carathéodory functions and satisfy controlled growth structure conditions with data belonging to suitable Morrey spaces.

Global Hölder continuity of solutions to quasilinear equations with Morrey data

Suitable Morrey Spaces

We consider the following boundary value problem −div[M(x)∇u−E(x)u]=f(x)in  Ωu=0on  ∂Ω, $$\begin{array}{} \displaystyle \begin{cases} - {\rm div}{[M(x)\nabla u - E(x) u]} =f(x) & \text{in}~~ {\it\Omega} \\ u =0 & \text{on}~~ \partial{\it\Omega}, \end{cases} \end{array}$$ where Ω is a bounded open subset of ℝN, with N > 2, M : Ω → ℝN2 is a symmetric matrix, E(x) and f(x) are respectively a vector field and function both belonging to suitable Morrey spaces and we study the corresponding regularity of u and D u.

Morrey estimates for a class of elliptic equations with drift term

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Morrey Spaces sentence examples within morrey spaces l

morrey spaces l

Our aim in this paper is to establish Trudinger’s inequality on Musielak-Orlicz-Morrey spaces L Φ, κ ( G ) under conditions on Φ which are essentially weaker than those considered in a former paper.

Trudinger’s Inequality for Double Phase Functionals with Variable Exponents

morrey spaces l

We prove the boundedness of the fractional integration operator of variable order α ( x ) in the limiting Sobolev case α ( x ) p ( x ) = n − λ ( x ) from variable exponent Morrey spaces L p ⋅ , λ ⋅ Ω into BMO ( Ω ), where Ω is a bounded open set.

BMO–VMO results for fractional integrals in variable exponent Morrey spaces

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Morrey Spaces sentence examples within morrey spaces defined

morrey spaces defined

We consider subspaces of Morrey spaces defined in terms of various vanishing properties of functions.

On the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operators

morrey spaces defined

We study embeddings of weighted local and consequently global generalized Morrey spaces defined on a quasi-metric measure set (X, d, μ) of general nature which may be unbounded, into Lebesgue spaces Ls(X), 1 ≤ s ≤ p < ∞.

Embeddings of weighted generalized Morrey spaces into Lebesgue spaces on fractal sets

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Morrey Spaces sentence examples within morrey spaces mp

morrey spaces mp

We prove continuity in generalized parabolic Morrey spaces Mp,φ of sublinear operators generated by the parabolic Calderon-Zygmund operator and by the commutator of this operator with bounded mean oscillation (BMO) functions.

The Uniformly Parabolic Equations of Higher Order with Discontinuous Data in Generalized Morrey Spaces and Elliptic Equations in Unbounded Domains

morrey spaces mp

We show continuity in generalized weighted Morrey spaces Mp,'(w) of sub-linear integral operators generated by some classical integral operators and commutators.

The Dirichlet problem in a class of generalized weighted Morrey spaces

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Morrey Spaces sentence examples within morrey spaces related

morrey spaces related

The Hardy-Morrey spaces related to Laplace-Bessel differential equations are introduced in terms of maximal functions.

Different approach to the decomposition theory of $$HM^p_{q,{\varDelta _{\nu }}}$$ Hardy–Morrey spaces

morrey spaces related

This paper establishes the boundedness of the variation operators associated with Riesz transforms and commutators generated by the Riesz transforms and BMO-type functions in the Schrödinger setting on the weighted Morrey spaces related to certain nonnegative potentials belonging to the reverse Hölder class.

Variation inequalities related to Schrödinger operators on weighted Morrey spaces

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10.1080/00036811.2021.1932836

[A bridge connecting Lebesgue and Morrey spaces via Riesz norms.

Nontriviality of Riesz–Morrey spaces

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10.1186/s13660-021-02651-6

In addition, the boundedness of the m th-order commutators M b , m ρ $\mathcal{M}^{\rho }_{b,m}$ on Morrey spaces M p q ( μ ) $M^{q}_{p}(\mu )$ , 1 < p ≤ q < ∞ $1< p \leq q< \infty $ , is also obtained for the parameter 0 < ρ < ∞ $0<\rho <\infty $.

Commutators of log-Dini-type parametric Marcinkiewicz operators on non-homogeneous metric measure spaces

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10.1134/S2070046621030031

We establish the boundedness of the Calderón-Zygmund operators on the Morrey spaces and the Hardy-Morrey spaces in locally compact Vilenkin groups.

Calderón-Zygmund Operators on Morrey and Hardy-Morrey Spaces in Locally Compact Vilenkin Groups

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10.1016/J.TOPOL.2021.107709

The obtained results in addition to previous modes of Lebesgue and Orlicz spaces, also cover new classes such as some closed subspaces of Morrey spaces.

Disjoint dynamics of weighted translations on solid spaces

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10.4171/RSMUP/72

In particular, it gives the boundedness of the Erdélyi-Kober fractional integral operators on amalgam spaces and Morrey spaces.

Erdélyi–Kober fractional integral operators on ball Banach function spaces

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10.3934/CPAA.2021045

Finally, we extend the result to the Morrey spaces.

Jump and variational inequalities for averaging operators with variable kernels

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10.31489/2021M1/17-24

The article deals with the global Orlia-Morrey spaces GMΦ,ϕ,θ(Rn).

On the boundedness of the fractional maximal operator on global Orlicz-Morrey spaces

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10.11650/TJM/210202

In the present paper, we deal with the global regularity estimates for the $p$-Laplace equations with data in divergence form \[ \operatorname{div}(|\nabla u|^{p-2} \nabla u) = \operatorname{div}(|F|^{p-2} F) \quad \textrm{in $\Omega$}, \] in Morrey spaces with natural data $F \in L^p(\Omega;\mathbb{R}^n)$ and nonhomogeneous boundary data belongs to $W^{1,p}(\Omega)$.

A Gradient Estimate Related Fractional Maximal Operators for a $p$-Laplace Problem in Morrey Spaces

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10.1063/5.0042272

Necessary conditions for a norm estimate of Riesz potential will be presented on Morrey spaces over commutative hypergroups by taking into account the upper Ahlfors condition.

Necessary conditions for a norm estimate of Riesz potential on Morrey spaces over hypergroups

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10.1007/s10476-021-0067-9

We show a characterization for the boundedness of the commutators for bilinear fractional integral operators B α (0 < α < n ) on Morrey spaces.

Boundedness and Compactness of Commutators for Bilinear Fractional Integral Operators on Morrey Spaces

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10.5802/crmath.252

[6, 7, 8]) have proposed the concept of best local polynomial approximation as a unifying characteristic to understand the structure of classical function spaces as diverse as, BMO, John–Nirenberg spaces JNp, Sobolev spaces, Besov spaces, Morrey spaces, Jordan–Wiener spaces, etc.

Sparse Brudnyi and John–Nirenberg Spaces

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10.7153/JMI-2021-15-03

We establish the mapping properties of the fractional integral operators with homogeneous kernels on generalized Lorentz-Morrey spaces.

Fractional integral operators with homogeneous kernels on generalized Lorentz-Morrey spaces

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10.1063/5.0042530

The key purpose of this paper to show the boundedness of Bessel-Riesz operators in Morrey spaces defied on quasimetric measure spaces.

Morrey spaces and boundedness of Bessel-Riesz operators

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10.1007/s41808-021-00116-x

On our way to unveil this off-diagonal behavior we prove resolvent estimates in Morrey spaces <jats:inline-formula><jats:alternatives><jats:tex-math>$$\mathrm {L}^{2 , \nu } ({\mathbb {R}}^d)$$</jats:tex-math><mml:math xmlns:mml="http://www.

On off-diagonal decay properties of the generalized Stokes semigroup with bounded measurable coefficients

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10.1515/math-2021-0024

If vector-valued sublinear operators satisfy the size condition and the vector-valued inequality on weighted Lebesgue spaces with variable exponent, then we obtain their boundedness on weighted Herz-Morrey spaces with variable exponents.

Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents

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10.1090/proc/15771

In this note, we obtain a version of Aleksandrov’s maximum principle when the drift coefficients are in Morrey spaces, which contains Ld, and when the free term is in Lp for some p < d.

Aleksandrov’s estimates for elliptic equations with drift in a Morrey spaces containing 𝐿_{𝑑}

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10.1155/2021/9705250

<jats:p>In the present paper, our aim is to establish the boundedness of commutators of the fractional Hardy operator and its adjoint operator on weighted Herz-Morrey spaces with variable exponents <jats:inline-formula> <math xmlns="http://www.

Commutators of the Fractional Hardy Operator on Weighted Variable Herz-Morrey Spaces

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10.21136/CMJ.2021.0506-19

Our aim in this paper is to establish Trudinger’s inequality on Musielak-Orlicz-Morrey spaces L Φ, κ ( G ) under conditions on Φ which are essentially weaker than those considered in a former paper.

Trudinger’s Inequality for Double Phase Functionals with Variable Exponents

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10.1007/s11868-021-00426-7

The Hardy-Morrey spaces related to Laplace-Bessel differential equations are introduced in terms of maximal functions.

Different approach to the decomposition theory of $$HM^p_{q,{\varDelta _{\nu }}}$$ Hardy–Morrey spaces

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10.5186/aasfm.2021.4662

Our aim in this paper is to establish Hardy-Sobolev inequalities for Sobolev functions and generalized Riesz potentials in central Herz-Morrey spaces on the unit ball.

Hardy–Sobolev inequalities for Sobolev functions in central Herz–Morrey spaces on the unit ball

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10.1515/anona-2020-0187

This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.

Variation inequalities for rough singular integrals and their commutators on Morrey spaces and Besov spaces

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Morrey Spaces
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What is/are Morrey Spaces?

Morrey Spaces - [A bridge connecting Lebesgue and Morrey spaces via Riesz norms. [1] In addition, the boundedness of the m th-order commutators M b , m ρ $\mathcal{M}^{\rho }_{b,m}$ on Morrey spaces M p q ( μ ) $M^{q}_{p}(\mu )$ , 1 < p ≤ q < ∞ $1< p \leq q< \infty $ , is also obtained for the parameter 0 < ρ < ∞ $0<\rho <\infty $. [2] We establish the boundedness of the Calderón-Zygmund operators on the Morrey spaces and the Hardy-Morrey spaces in locally compact Vilenkin groups. [3] The obtained results in addition to previous modes of Lebesgue and Orlicz spaces, also cover new classes such as some closed subspaces of Morrey spaces. [4] In particular, it gives the boundedness of the Erdélyi-Kober fractional integral operators on amalgam spaces and Morrey spaces. [5] Finally, we extend the result to the Morrey spaces. [6] The article deals with the global Orlia-Morrey spaces GMΦ,ϕ,θ(Rn). [7] In the present paper, we deal with the global regularity estimates for the $p$-Laplace equations with data in divergence form \[ \operatorname{div}(|\nabla u|^{p-2} \nabla u) = \operatorname{div}(|F|^{p-2} F) \quad \textrm{in $\Omega$}, \] in Morrey spaces with natural data $F \in L^p(\Omega;\mathbb{R}^n)$ and nonhomogeneous boundary data belongs to $W^{1,p}(\Omega)$. [8] Necessary conditions for a norm estimate of Riesz potential will be presented on Morrey spaces over commutative hypergroups by taking into account the upper Ahlfors condition. [9] We show a characterization for the boundedness of the commutators for bilinear fractional integral operators B α (0 < α < n ) on Morrey spaces. [10] [6, 7, 8]) have proposed the concept of best local polynomial approximation as a unifying characteristic to understand the structure of classical function spaces as diverse as, BMO, John–Nirenberg spaces JNp, Sobolev spaces, Besov spaces, Morrey spaces, Jordan–Wiener spaces, etc. [11] We establish the mapping properties of the fractional integral operators with homogeneous kernels on generalized Lorentz-Morrey spaces. [12] The key purpose of this paper to show the boundedness of Bessel-Riesz operators in Morrey spaces defied on quasimetric measure spaces. [13] On our way to unveil this off-diagonal behavior we prove resolvent estimates in Morrey spaces $$\mathrm {L}^{2 , \nu } ({\mathbb {R}}^d)$$[14] If vector-valued sublinear operators satisfy the size condition and the vector-valued inequality on weighted Lebesgue spaces with variable exponent, then we obtain their boundedness on weighted Herz-Morrey spaces with variable exponents. [15] In this note, we obtain a version of Aleksandrov’s maximum principle when the drift coefficients are in Morrey spaces, which contains Ld, and when the free term is in Lp for some p < d. [16] In the present paper, our aim is to establish the boundedness of commutators of the fractional Hardy operator and its adjoint operator on weighted Herz-Morrey spaces with variable exponents [17] Our aim in this paper is to establish Trudinger’s inequality on Musielak-Orlicz-Morrey spaces L Φ, κ ( G ) under conditions on Φ which are essentially weaker than those considered in a former paper. [18] The Hardy-Morrey spaces related to Laplace-Bessel differential equations are introduced in terms of maximal functions. [19] Our aim in this paper is to establish Hardy-Sobolev inequalities for Sobolev functions and generalized Riesz potentials in central Herz-Morrey spaces on the unit ball. [20] This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces. [21]

initial data u0

For small initial data u0 belonging to the Fourier-Besov-Morrey spaces with variable exponent, we obtain the global well-posedness results of generalized porous medium equation by using the Fourier localization principle and the Littlewood-Paley decomposition technique. [1]

integral operators generated

We in generalized Orlicz-Morrey spaces integral operators generated by Calderon-Zygmund operator and their commutators with BMO functions considered. [1]

Generalized Morrey Spaces

We derive the Calderon–Zygmund property in generalized Morrey spaces for the strong solutions to 2 b -order linear parabolic systems with discontinuous principal coefficients. [1] The aim of this paper is to establish the characterizations of boundedness and compactness for the commutator operators of Cauchy–Fantappie type integrals with $$L^1(b\Omega ,d\lambda )$$ functions on the generalized Morrey spaces $$L^{p}_\varrho (b\Omega ,d\lambda )$$ , with $$p\in (1, \infty )$$. [2] Moreover, the endpoint estimate for such operators on generalized Morrey spaces is also given. [3] We obtain Calderon-Zygmund type estimates in generalized Morrey spaces for nonlinear equations of $p$-Laplacian type. [4] ABSTRACT In this paper, we will obtain the new results of the strong and weak Spanne-Guliyev, Adams-Guliyev and Adams-Gunawan type boundedness characterization of the fractional maximal operator in generalized Morrey spaces, respectively. [5] We study the boundedness of the sublinear integral operators generated by Calderón–Zygmund operator and their commutators with BMO functions on generalized Morrey spaces. [6] We exploit this approach and treat the cases of variable exponent Lebesgue space, Orlicz space and variable exponent generalized Morrey spaces. [7] We study embeddings of weighted local and consequently global generalized Morrey spaces defined on a quasi-metric measure set (X, d, μ) of general nature which may be unbounded, into Lebesgue spaces Ls(X), 1 ≤ s ≤ p < ∞. [8]

Weighted Morrey Spaces

In particular, we can obtain strong type and endpoint estimates of vector-valued intrinsic square functions and their commutators in the weighted Morrey spaces and the generalized Morrey spaces. [1] In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent generalized weighted Morrey spaces and the variable exponent vanishing generalized weighted Morrey spaces. [2] In this paper first we prove Calderón-Zygmund-type integral inequalities for oscillatory integral operators and their commutators in the modified weighted Morrey spaces with variable exponent L̃ p(·),λ ω (Ω), where Ω ⊂ R are unbounded sets. [3] We show continuity in generalized weighted Morrey spaces Mp,'(w) of sub-linear integral operators generated by some classical integral operators and commutators. [4] The aim of this paper is to prove the boundedness of the oscillation and variation operators for the multilinear singular integrals with Lipschitz functions on weighted Morrey spaces. [5] This paper establishes the boundedness of the variation operators associated with Riesz transforms and commutators generated by the Riesz transforms and BMO-type functions in the Schrödinger setting on the weighted Morrey spaces related to certain nonnegative potentials belonging to the reverse Hölder class. [6] We define a scale of weighted Morrey spaces which contains different weighted versions appearing in the literature. [7]

Exponent Morrey Spaces

In this paper, we study the boundedness of the operators T and $$T_{\vec {b}}$$ on generalized weighted variable exponent Morrey spaces $$M^{p(\cdot ),\varphi }(w)$$ with the weight function w belonging to variable Muckenhoupt’s class $$A_{p(\cdot )}({{\mathbb {R}}^n})$$. [1] In this paper, we study the boundedness of multilinear commutators of Calderon–Zygmund operators $$T_{\mathbf {b}}$$ on generalized variable exponent Morrey spaces $$M^{p(\cdot ), \varphi }$$. [2] We prove the boundedness of the fractional integration operator of variable order α ( x ) in the limiting Sobolev case α ( x ) p ( x ) = n − λ ( x ) from variable exponent Morrey spaces L p ⋅ , λ ⋅ Ω into BMO ( Ω ), where Ω is a bounded open set. [3] In this paper, we study various embedding theorems on variable-exponent Morrey spaces. [4]

Grand Morrey Spaces

We obtain boundedness criteria in terms of Muckenhoupt weights for the Hardy–Littlewood maximal operator and Riesz transforms in weighted grand Morrey spaces $$M^{p),q,\varphi}_w$$. [1] In this paper, we study the boundedness of some sublinear operators with rough kernels, satisfied by most of the operators in classical harmonic analysis, on the generalized weighted grand Morrey spaces. [2] In the spirit of grand Morrey spaces and martingale Morrey spaces, we introduce grand Morrey martingale spaces. [3] In this paper we establish the boundedness of commutators of sublinear operators in weighted grand Morrey spaces. [4]

Central Morrey Spaces

9 We establish the sharp boundedness of -adic multilinear Hausdorff operators on the product of Lebesgue and central Morrey spaces associated with both power weights and Muckenhoupt weights. [1] org/1998/Math/MathML" id="M4"> p -adic central Morrey spaces. [2] In this paper, we obtain the boundedness of the multilinear fractional integral operators and their commutators on central Morrey spaces with variable exponent. [3]

Local Morrey Spaces

We show that the calculation of the sum of local Morrey spaces can be reduced to the calculation of the sum of sequence spaces that appear as parameters in the definition of local Morrey spaces. [1] This paper establishes the mapping properties of the singular integral operators, the Littlewood-Paley functions and the maximal Bochner-Riesz means on the Hardy local Morrey spaces with variable exponents by using extrapolation theory. [2] We prove the boundedness of rough fractional integral operator on local Morrey spaces for radial functions. [3]

Smoothnes Morrey Spaces

We study the compact embedding between smoothness Morrey spaces on bounded domains and characterise its entropy numbers and approximation numbers in some cases. [1] We study traces on the boundary of generalized smoothness Morrey spaces on C k domains Ω. [2]

Vanishing Morrey Spaces

We give the description of the first and second complex interpolation of vanishing Morrey spaces, introduced in \cite{AS, CF}. [1] We give a proof of the boundedness of the Bergman projection in generalized variable-exponent vanishing Morrey spaces over the unit disc and the upper half-plane. [2]

Suitable Morrey Spaces

The nonlinear terms are given by Carathéodory functions and satisfy controlled growth structure conditions with data belonging to suitable Morrey spaces. [1] We consider the following boundary value problem −div[M(x)∇u−E(x)u]=f(x)in  Ωu=0on  ∂Ω, $$\begin{array}{} \displaystyle \begin{cases} - {\rm div}{[M(x)\nabla u - E(x) u]} =f(x) & \text{in}~~ {\it\Omega} \\ u =0 & \text{on}~~ \partial{\it\Omega}, \end{cases} \end{array}$$ where Ω is a bounded open subset of ℝN, with N > 2, M : Ω → ℝN2 is a symmetric matrix, E(x) and f(x) are respectively a vector field and function both belonging to suitable Morrey spaces and we study the corresponding regularity of u and D u. [2]

morrey spaces l

Our aim in this paper is to establish Trudinger’s inequality on Musielak-Orlicz-Morrey spaces L Φ, κ ( G ) under conditions on Φ which are essentially weaker than those considered in a former paper. [1] We prove the boundedness of the fractional integration operator of variable order α ( x ) in the limiting Sobolev case α ( x ) p ( x ) = n − λ ( x ) from variable exponent Morrey spaces L p ⋅ , λ ⋅ Ω into BMO ( Ω ), where Ω is a bounded open set. [2] Our aim in this paper is to deal with the boundedness of generalized Riesz potentials Iρ,μ ,τ f of functions in Morrey spaces L(1,φ;κ)(G) over non-doubling measure spaces, as an extension of [4, 6, 9, 12, 19]. [3]

morrey spaces defined

We consider subspaces of Morrey spaces defined in terms of various vanishing properties of functions. [1] We study embeddings of weighted local and consequently global generalized Morrey spaces defined on a quasi-metric measure set (X, d, μ) of general nature which may be unbounded, into Lebesgue spaces Ls(X), 1 ≤ s ≤ p < ∞. [2]

morrey spaces mp

We prove continuity in generalized parabolic Morrey spaces Mp,φ of sublinear operators generated by the parabolic Calderon-Zygmund operator and by the commutator of this operator with bounded mean oscillation (BMO) functions. [1] We show continuity in generalized weighted Morrey spaces Mp,'(w) of sub-linear integral operators generated by some classical integral operators and commutators. [2]

morrey spaces related

The Hardy-Morrey spaces related to Laplace-Bessel differential equations are introduced in terms of maximal functions. [1] This paper establishes the boundedness of the variation operators associated with Riesz transforms and commutators generated by the Riesz transforms and BMO-type functions in the Schrödinger setting on the weighted Morrey spaces related to certain nonnegative potentials belonging to the reverse Hölder class. [2]