Construction of non-Gaussian surface measures by Malliavin's method

DOI10.1007/BF02675073zbMath0985.46029WikidataQ126211106 ScholiaQ126211106MaRDI QIDQ1569779

O. V. Pugachev

Publication date: 9 July 2000

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Wiener measureGaussian measuresGâteaux differentiabilityinfinite-dimensional spacesAirault-Malliavin theoremexistence of surface measuresnon-Gaussian measuresets of capacitiesSobolev classes on infinite-dimensional spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Measures and integration on abstract linear spaces (46G12) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)

Related Items (1)

Surface measures generated by differentiable measures

Cites Work

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• Tightness of general \(C_{1,p}\) capacities on Banach space
• Surface measures in infinite-dimensional spaces
• Differentiable measures and the Malliavin calculus
• Surface integrals in linear topological spaces

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