Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups

DOI10.1090/S0002-9947-2012-05778-3zbMath1294.35182arXiv1108.1527OpenAlexW2026904626WikidataQ115285471 ScholiaQ115285471MaRDI QIDQ2847038

Fabrice Baudoin, Tai Melcher, Maria Gordina

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1527

zbMATH Keywords

\(L^p\)-estimatesheat kernelquasi-invarianceRadon--Nikodym derivativesub-Riemannian infinite-dimensional Heisenberg groups

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Heat kernel (35K08)

Related Items (14)

Derivative formulas and Poincaré inequality for Kohn-Laplacian type semigroups ⋮ Logarithmic Sobolev inequalities on non-isotropic Heisenberg groups ⋮ Gradient bounds for Kolmogorov type diffusions ⋮ A subelliptic Taylor isomorphism on infinite-dimensional Heisenberg groups ⋮ Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds ⋮ Quasi-invariance for infinite-dimensional Kolmogorov diffusions ⋮ Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities ⋮ Derivative formula and gradient estimates for Gruschin type semigroups ⋮ Degenerate SDEs with singular drift and applications to Heisenberg groups ⋮ Hypoelliptic heat kernels on infinite-dimensional Heisenberg groups ⋮ Transportation inequalities for Markov kernels and their applications ⋮ Sup-norm-closable bilinear forms and Lagrangians ⋮ Log-Harnack inequality for Gruschin type semigroups ⋮ Stochastic integrals and Brownian motion on abstract nilpotent Lie groups

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