Sobolev functions on infinite-dimensional domains
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Publication:2252314
DOI10.1016/j.jmaa.2014.05.020zbMath1310.46035arXiv1309.5475OpenAlexW2164189677MaRDI QIDQ2252314
Alexander Shaposhnikov, Vladimir I. Bogachev, Andrey Yu. Pilipenko
Publication date: 17 July 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.5475
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Calculus of functions on infinite-dimensional spaces (26E15)
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Surface measures generated by differentiable measures ⋮ Mean Field Game Theory with a Partially Observed Major Agent ⋮ Vladimir Igorevich Bogachev ⋮ Capacities, removable sets and \(L^p\)-uniqueness on Wiener spaces ⋮ Sobolev and Besov classes on infinite-dimensional spaces ⋮ Characterizations of Sobolev spaces on sublevel sets in abstract Wiener spaces ⋮ Domains of elliptic operators on sets in Wiener space ⋮ Some fine properties of BV functions on Wiener spaces ⋮ Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces ⋮ On Skorokhod differentiable measures ⋮ Lagrangian flows driven by \(BV\) fields in Wiener spaces ⋮ \(BV\) functions on open domains: the Wiener case and a Fomin differentiable case ⋮ Pointwise conditions for membership of functions in weighted Sobolev classes ⋮ \textit{BV} functions on convex domains in Wiener spaces
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