Besov classes on finite and infinite dimensional spaces

DOI10.1070/SM9058zbMath1434.46021arXiv1711.01659OpenAlexW2960207579WikidataQ128516087 ScholiaQ128516087MaRDI QIDQ4968495

Egor D. Kosov

Publication date: 15 July 2019

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.01659

zbMATH Keywords

Besov spaceembedding theoremGaussian measureOrnstein-Uhlenbeck semigroup

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Groups and semigroups of linear operators (47D03) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (11)

Chebyshev--Hermite Polynomials and Distributions of Polynomials in Gaussian Random Variables ⋮ On distributions of trigonometric polynomials in Gaussian random variables ⋮ On fractional regularity of distributions of functions in Gaussian random variables ⋮ Improved bounds for the total variation distance between stochastic polynomials ⋮ Regularity of distributions of Sobolev mappings in abstract settings ⋮ Sobolev and Besov classes on infinite-dimensional spaces ⋮ Fractional smoothness of images of logarithmically concave measures under polynomials ⋮ On Skorokhod differentiable measures ⋮ Fractional smoothness of distributions of trigonometric polynomials on a space with a Gaussian measure ⋮ Regularity of linear and polynomial images of Skorohod differentiable measures ⋮ Distributions of polynomials in Gaussian random variables under constraints on the powers of variables

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