Infinite dimensional quasi continuity, path continuity and ray continuity of functions with fractional regularity

DOI10.1016/S0021-7824(00)01192-2zbMath0987.60063OpenAlexW2013825977MaRDI QIDQ5932259

Jiangang Ren, Jihui Hu

Publication date: 10 June 2002

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(00)01192-2

zbMATH Keywords

Malliavin calculusergodicityDirichlet formsfractional order Sobolev spaces in infinite dimensionslocal timespath continuityquasi continuityray continuity

Mathematics Subject Classification ID

Dirichlet forms (31C25) Stochastic calculus of variations and the Malliavin calculus (60H07) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (9)

Regularity of local times of random fields ⋮ Kusuoka-Stroock formula on configuration space and regularities of local times with jumps ⋮ Quasi-sure \(p\)-variation of fractional Brownian motion ⋮ Localization of Wiener functionals of fractional regularity and applications ⋮ Path continuity of fractional Dirichlet functionals ⋮ Sobolev and Besov classes on infinite-dimensional spaces ⋮ Quasi sure quadratic variation of local times of smooth semimartingales. ⋮ Quasi sure analysis of local times of anticipating smooth semimartingales ⋮ Quasi Surep-Variation of Fractional Brownian Sheet

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