Fractional order Sobolev classes on infinite-dimensional spaces

DOI10.1134/S1064562413050104zbMath1291.46033MaRDI QIDQ393849

E. V. Nikitin

Publication date: 24 January 2014

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

zbMATH Keywords

Gaussian measuresfractional order Sobolev classesinfinite-dimensional spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (1)

Sobolev and Besov classes on infinite-dimensional spaces

Cites Work

• Some results on Gaussian Besov-Lipschitz spaces and Gaussian Triebel-Lizorkin spaces
• Differentiable measures and the Malliavin calculus
• Fractional order Sobolev spaces on Wiener space
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