Partitions of unity in Sobolev spaces over infinite dimensional state spaces

DOI10.1006/jfan.1996.2968zbMath0873.46020OpenAlexW1973865997MaRDI QIDQ677479

Michael Roeckner, Zhi-Ming Ma, Sergio A. Albeverio

Publication date: 22 September 1997

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c691c55f048c3f38b08fb34653f0fc081fccf6fc

zbMATH Keywords

Dirichlet formsabstract Wiener spacelocally LipschitzBanach manifoldsinfinite dimensional manifoldsexistence of partitions of unityMalliavin test function spacePolish state 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)

Related Items (6)

Lattice homomorphisms between Sobolev spaces ⋮ On integration by parts formula on open convex sets in Wiener spaces ⋮ \(BV\) functions on open domains: the Wiener case and a Fomin differentiable case ⋮ Stochastic gauge transform of the string bundle ⋮ Stochastic Cohomology of the Frame Bundle of the Loop Space ⋮ Potential theory on Gromov hyperbolic spaces

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