Fractional smoothness of distributions of trigonometric polynomials on a space with a Gaussian measure
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Publication:2307925
DOI10.26516/1997-7670.2020.31.78zbMath1435.60016OpenAlexW3012159072MaRDI QIDQ2307925
Publication date: 25 March 2020
Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)
Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1332
Gaussian processes (60G15) Probability distributions: general theory (60E05) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
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Cites Work
- Membership of distributions of polynomials in the Nikolskii-Besov class
- Absolute continuity and convergence of densities for random vectors on Wiener chaos
- A characterization of Nikolskii-Besov classes via integration by parts
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- On distance in total variation between image measures
- Fractional smoothness of images of logarithmically concave measures under polynomials
- Convergence in total variation on Wiener chaos
- Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures
- Fractional smoothness of distributions of polynomials and a fractional analog of the Hardy–Landau–Littlewood inequality
- Besov classes on finite and infinite dimensional spaces
- A new approach to Nikolskii-Besov classes
- Convergence de la répartition empirique vers la répartition théorique
- Distributional and \(L^q\) norm inequalities for polynomials over convex bodies in \(\mathbb{R}^n\)
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