Characterizations of Sobolev spaces on sublevel sets in abstract Wiener spaces

DOI10.1016/j.jmaa.2023.127075OpenAlexW4319029712MaRDI QIDQ2695987

Davide Addona, Giorgio Menegatti, Michele~jun. Miranda

Publication date: 5 April 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.15544

zbMATH Keywords

Sobolev spacesabstract Wiener spacestrace operatorMalliavin derivativesublevel sets

Mathematics Subject Classification ID

Linear function spaces and their duals (46Exx) Set functions and measures on spaces with additional structure (28Cxx) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46Gxx)

Related Items (max. 100)

Sobolev and Besov classes on infinite-dimensional spaces

Cites Work

• Erratum to: ``Dirichlet spaces on \(H\)-convex sets in Wiener space
• Maximal \(L^2\) regularity for Dirichlet problems in Hilbert spaces
• Positive generalized Wiener functions and potential theory over abstract Wiener spaces
• On integration by parts formula on open convex sets in Wiener spaces
• Surface measures and integration by parts formula on levels sets induced by functionals of the Brownian motion in \(\mathbb{R}^n\)
• Sobolev functions on infinite-dimensional domains
• \(BV\) functions on open domains: the Wiener case and a Fomin differentiable case
• Traces of Sobolev functions on regular surfaces in infinite dimensions
• Domains of elliptic operators on sets in Wiener space
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