A new approach to Nikolskii-Besov classes
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Publication:5112494
zbMath1460.46021arXiv1707.06477MaRDI QIDQ5112494
Vladimir I. Bogachev, S. N. Popova, Egor D. Kosov
Publication date: 29 May 2020
Full work available at URL: https://arxiv.org/abs/1707.06477
integration by parts formulaNikolskii-Besov classOrnstein-Uhlenbeck semigroupfractional Sobolev class
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
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Chebyshev--Hermite Polynomials and Distributions of Polynomials in Gaussian Random Variables ⋮ On distributions of trigonometric polynomials in Gaussian random variables ⋮ Sobolev and Besov classes on infinite-dimensional spaces ⋮ 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
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