Introduction to Measure Space
Sentence Examples
Discover more insights into Measure Space
Keywords frequently search together with Measure Space
Narrow sentence examples with built-in keyword filters
Measure Space sentence examples within curvature dimension condition
Similarly, for metric measure spaces we study how the curvature-dimension condition in the sense of Lott–Sturm–Villani will transform under time change.
Full Text
The Lott–Sturm–Villani Curvature-Dimension condition provides a synthetic notion for a metric-measure space to have Ricci-curvature bounded from below and dimension bounded from above.
Full Text
Measure Space sentence examples within non homogeneous metric
Let ( X , d , μ ) $(\mathcal{X}, d, \mu )$ be a non-homogeneous metric measure space, which satisfies the geometrically doubling condition and the upper doubling condition.
Full Text
The aim of this paper is to establish the boundedness of commutator [ b , g ˙ r ] \left[b,{\dot{g}}_{r}] generated by Littlewood-Paley g g -functions g ˙ r {\dot{g}}_{r} and b ∈ RBMO ( μ ) b\in {\rm{RBMO}}\left(\mu ) on non-homogeneous metric measure space.
Full Text
Measure Space sentence examples within Metric Measure Space
This paper generalizes to the context of smooth metric measure spaces and submanifolds with negative sectional curvatures some well-known geometric estimates on the p-fundamental tone by using vect.
Full Text
We study the maximal operator on continuous functions in the setting of metric measure spaces.
Full Text
Learn more from Measure Space
Measure Space sentence examples within Finite Measure Space
The aim of the article is to provide a characterization of the Haagerup property for locally compact, second countable groups in terms of actions on $\unicode[STIX]{x1D70E}$ -finite measure spaces.
Full Text
We establish the existence and uniqueness of strong solutions to stochastic porous media equations driven by Levy noise on a $\sigma$-finite measure space $(E,\mathcal{B}(E),\mu)$, and with the Laplacian replaced by a negative definite self-adjoint operator.
Full Text
Measure Space sentence examples within Probability Measure Space
Second, the subspace optimization method in the probability measure space is integrated into the proposed SVB method to solve the involved ill-posed inverse problem.
Full Text
The role of isomorphisms of Kolmogorovian probability measure spaces is specified in what we call the “Maxim of Probabilism”, which states that a necessary condition for a concept to be probabilistic is its invariance with respect to measure-theoretic isomorphisms.
Full Text
Measure Space sentence examples within Radon Measure Space
The same holds for each quasi-regular strongly local Dirichlet space over a metrizable Luzin σ-finite Radon measure space, and admitting carré du champ operator.
Full Text
We characterize the weak McShane integrability of a vector-valued function on a finite Radon measure space by means of only finite McShane partitions.
Full Text
Measure Space sentence examples within Complete Measure Space
Let (Ω, Σ, λ) be a finite complete measure space, (E, ξ) be a sequentially complete locally convex Hausdorff space and E′ be its topological dual.
Full Text
Let (A, $$\mathscr{A}$$A, µ) be a σ-finite complete measure space, and let p(·) be a µ-measurable function on A which takes values in (1, ∞).
Full Text
Measure Space sentence examples within General Measure Space
Based on the Gale–Ryser theorem [2, 6], for the existence of suitable
$(0,1)$
-matrices for different partitions of a natural number, we revisit the classical result of Lorentz [4] regarding the characterization of a plane measurable set, in terms of its cross-sections, and extend it to general measure spaces.
Full Text
We derive Adams inequalities for potentials on general measure spaces, extending and improving previous results obtained by the authors.
Full Text
Measure Space sentence examples within measure space satisfying
Under natural assumptions about the measure spaces, the topological size as well as the algebraic size of the family of measurable real functions on the product measure space satisfying or not the conclusion of the Fubini theorem are analyzed.
Full Text
Let (X,d,μ) be a non-homogeneous metric measure space satisfying the geometrically doubling condition and the upper doubling condition.
Full Text
Our second aim is to study the existence of principal eigenvalue of the measure differential equation, and we will prove the principal eigenvalue is continuously depending on the weight measure in the weak⁎ topology of the measure space.
Full Text
In this paper, we study the problem of a fair redistribution of resources among agents in an exchange economy a la Shitovitz (Econometrica 41:467–501, 1973), with agents’ measure space having both atoms and an atomless sector.
Full Text
Here we present a general scheme to define localization in measure spaces, which is based on what we call Rényi occupations, from which any measure of localization can be derived.
Full Text
Preference aggregation is here investigated for a society defined as a measure space of individuals and called a measure society.
Full Text
A synchronous driver system wirelessly triggers the two EF sensor arrays synchronously to measure space electric fields.
Full Text
We consider a semigroup acting on the function space L based a measure space.
Full Text
Our setting is a discrete time dynamical system, namely the successive iterations of a measure-preserving mapping on a measure space, generalizing Hamiltonian dynamics in phase space.
Full Text
Under natural assumptions about the measure spaces, the topological size as well as the algebraic size of the family of measurable real functions on the product measure space satisfying or not the conclusion of the Fubini theorem are analyzed.
Full Text
We exemplify some particular cases of this general pseudometric in the contexts of measure spaces, Euclidean spaces, and fuzzy sets.
Full Text
Applying medial limits we describe bounded solutions $$\varphi :S\rightarrow {\mathbb {R}}$$ φ : S → R of the functional equation $$\begin{aligned} \varphi (x)=\int _{\Omega }g(\omega )\varphi (f(x,\omega ))d\mu (\omega )+G(x), \end{aligned}$$ φ ( x ) = ∫ Ω g ( ω ) φ ( f ( x , ω ) ) d μ ( ω ) + G ( x ) , where $$(\Omega ,{\mathcal {A}},\mu )$$ ( Ω , A , μ ) is a measure space, $$S\subset \mathbb R$$ S ⊂ R , $$f:S\times \Omega \rightarrow S$$ f : S × Ω → S , $$g:\Omega \rightarrow {\mathbb {R}}$$ g : Ω → R is integrable and $$G:S\rightarrow {\mathbb {R}}$$ G : S → R is bounded.
Full Text
Prior research has documented that the presence of an integer ratio is beneficial, particularly if the integer relationship is within the same measure space.
Full Text
We introduce the notion of DTM-signature, a measure on R that can be associated to any metric-measure space.
Full Text
I prove that the spectrum of the Laplace-Beltrami operator with the Neumann boundary condition on a compact Riemannian manifold with boundary admits a fast approximation by the spectra of suitable graph Laplacians on proximity graphs on the manifold, and similar graph approximation works for metric-measure spaces glued out of compact Riemannian manifolds of the same dimension.
Full Text
Finding an approximate probability distribution best representing a sample on a measure space is one of the most basic operations in statistics.
Full Text
Convex functions over measure spaces, constructed as Fenchel conjugates of integral functions of continuous functions, are shown to be sometimes equal to some integral of a function of their density.
Full Text
For the algorithmic solution a class of accelerated conditional gradient methods in measure space is derived, which exploits the structural properties of the design problem to ensure convergence towards sparse solutions.
Full Text
The embedded monoids are topologically distributed in the measure space.
Full Text
Using a method of Korobenko, Maldonado and Rios we show a new characterization of doubling metric-measure spaces supporting Poincar\'e inequalities without assuming a priori that the measure is doubling.
Full Text