Itô maps and analysis on path spaces

DOI10.1007/s00209-007-0145-0zbMath1181.60078arXivmath/0605089OpenAlexW2116714817MaRDI QIDQ2384754

Xue-Mei Li, K. David Elworthy

Publication date: 10 October 2007

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605089

zbMATH Keywords

Sobolev spacesMalliavin calculusBanach manifoldMarkovian connectionPath spaceMarkov uniquenessItô mapDivergence operatorWeak derivatives

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07)

Related Items (7)

Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds ⋮ The vanishing of \(L^2\) harmonic one-forms on based path spaces ⋮ Differential structure and flow equations on rough path space ⋮ Poincaré inequality on the path space of Poisson point processes ⋮ An \(L^{2}\) theory for differential forms on path spaces. I ⋮ A probabilistic representation for heat flow of harmonic map on manifolds with time-dependent Riemannian metric ⋮ A Poincaré inequality on loop spaces

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