A characterization of Nikolskii-Besov classes via integration by parts

DOI10.1134/S106456241705012XzbMath1448.46025OpenAlexW2766761161MaRDI QIDQ679969

S. N. Popova, Vladimir I. Bogachev, Egor D. Kosov

Publication date: 22 January 2018

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

Full work available at URL: https://doi.org/10.1134/s106456241705012x

zbMATH Keywords

fractional smoothnessNikolskii-Besov classesnonlinear integration by parts

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35)

Related Items

Sobolev and Besov classes on infinite-dimensional spaces ⋮ Fractional smoothness of images of logarithmically concave measures under polynomials ⋮ On Skorokhod differentiable measures ⋮ Besov classes on finite and infinite dimensional spaces ⋮ Fractional smoothness of distributions of trigonometric polynomials on a space with a Gaussian measure ⋮ Regularity of linear and polynomial images of Skorohod differentiable measures

Cites Work

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• Membership of distributions of polynomials in the Nikolskii-Besov class
• Su una teoria generale della misura \((r-1)\)-dimensionale in uno spazio ad \(r\) dimensioni
• Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures
• On Skorokhod Differentiability of Measures

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