EXPONENTIAL INTEGRABILITY FOR IMAGES OF ORNSTEIN–UHLENBECK OPERATORS ACTING ON CYLINDER FUNCTIONS ON LOOP SPACES

DOI10.1142/S0219025702000961zbMath1050.60079OpenAlexW2100028807WikidataQ125628512 ScholiaQ125628512MaRDI QIDQ4818911

Fu-Zhou Gong

Publication date: 24 September 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025702000961

zbMATH Keywords

loop spacesexponential integrabilityOrnstein-Uhlenbeck operators

Mathematics Subject Classification ID

Brownian motion (60J65) Integration with respect to measures and other set functions (28A25) Diffusion processes and stochastic analysis on manifolds (58J65)

Cites Work

• Some estimates of the transition density of a nondegenerate diffusion Markov process
• Pinned Brownian motion and its perturbations
• A Cameron-Martin Type Quasi-Invariance Theorem for Pinned Brownian Motion on a Compact Riemannian Manifold
• Poincaré inequality for weighted first order Sobolev spaces on loop spaces

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