An application of a functional inequality to quasi-invariance in infinite dimensions

DOI10.1007/978-1-4939-7005-6_8zbMath1384.39016arXiv1602.01293OpenAlexW2270755447MaRDI QIDQ2406344

Maria Gordina

Publication date: 27 September 2017

Full work available at URL: https://arxiv.org/abs/1602.01293

zbMATH Keywords

Harnack inequalityLie groupfunctional inequalitiesgroup actionquasi-invarianceWiener spaceHeisenberg-like groups

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Stochastic integrals (60H05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Functional inequalities, including subadditivity, convexity, etc. (39B62) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (5)

Logarithmic Sobolev inequalities on non-isotropic Heisenberg groups ⋮ Gradient bounds for Kolmogorov type diffusions ⋮ Quasi-invariance for infinite-dimensional Kolmogorov diffusions ⋮ Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities ⋮ Characteristic functionals of Dirichlet measures

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