Classes of functions of bounded variation on infinite-dimensional domains

DOI10.1134/S1064562413040078zbMath1286.46044MaRDI QIDQ382187

E. A. Rebrova, Vladimir I. Bogachev, Andrey Yu. Pilipenko

Publication date: 18 November 2013

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

zbMATH Keywords

functions of bounded variationinfinite-dimensional domain

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (5)

Surface measures generated by differentiable measures ⋮ BV functions in Hilbert spaces ⋮ Sobolev and Besov classes on infinite-dimensional spaces ⋮ On the law of the minimum in a class of unidimensional SDEs ⋮ On Skorokhod differentiable measures

Cites Work

• On extensions of Sobolev functions on the Wiener space
• BV functions in abstract Wiener spaces
• Absolutely continuous flows generated by Sobolev class vector fields in finite and infinite dimensions
• BV functions and distorted Ornstein Uhlenbeck processes over the abstract Wiener space
• Functions of bounded variation on infinite-dimensional spaces with measures
• Perimeter of sublevel sets in infinite dimensional spaces
• On the space of BV functions and a related stochastic calculus in infinite dimensions
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