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Ray Hölder-continuity for fractional Sobolev spaces in inifinite dimensions and applications

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Publication:1579436
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DOI10.1007/s004400000050zbMath0961.60055MaRDI QIDQ1579436

Jiangang Ren, Michael Roeckner

Publication date: 21 May 2001

Published in: Probability Theory and Related Fields (Search for Journal in Brave)


zbMATH Keywords

Sobolev spacesDirichlet formsWiener functionals


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 (4)

Fractional smoothness of some stochastic integrals ⋮ Random fields and the geometry of Wiener space ⋮ Sobolev and Besov classes on infinite-dimensional spaces ⋮ Relatively compact sets on abstract Wiener space




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