Membership of distributions of polynomials in the Nikolskii-Besov class

DOI10.1134/S1064562416040293zbMath1352.60054OpenAlexW2508257727MaRDI QIDQ339990

Vladimir I. Bogachev, Georgiĭ Il'ich Zelenov, Egor D. Kosov

Publication date: 11 November 2016

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

Full work available at URL: https://doi.org/10.1134/s1064562416040293

zbMATH Keywords

distributionspolynomialsindependent Gaussian random variablesNikolskii-Besov class

Mathematics Subject Classification ID

Gaussian processes (60G15) Distribution theory (60E99)

Related Items (10)

On distributions of trigonometric polynomials in Gaussian random variables ⋮ On distance in total variation between image measures ⋮ Sobolev and Besov classes on infinite-dimensional spaces ⋮ A characterization of Nikolskii-Besov classes via integration by parts ⋮ On Gaussian Nikolskii-Besov classes ⋮ Fractional smoothness of images of logarithmically concave measures under polynomials ⋮ 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 ⋮ Distributions of second order polynomials in Gaussian random variables

Cites Work

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• Convergence in total variation on Wiener chaos
• Lower bounds for the Kantorovich distance
• On the small balls problem for equivalent Gaussian measures
• 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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