Ornstein-Uhlenbeck semi-groups on stratified groups

DOI10.1016/j.jfa.2009.11.012zbMath1192.47042arXiv0907.1143OpenAlexW2126667074MaRDI QIDQ2267508

Françoise Lust-Piquard

Publication date: 1 March 2010

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

Full work available at URL: https://arxiv.org/abs/0907.1143

zbMATH Keywords

heat kernel measuresub-Laplacianstratified groupsOrnstein-Uhlenbeck semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Probability theory on algebraic and topological structures (60B99)

Related Items

Asymptotics for the heat kernel on H-type groups, Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups, Strong hypercontractivity and strong logarithmic Sobolev inequalities for log-subharmonic functions on stratified Lie groups, Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups*, Ornstein–Uhlenbeck operators and semigroups, Transportation inequalities for Markov kernels and their applications, Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality, Gaussian BV Functions and Gaussian BV Capacity on Stratified Groups

Cites Work

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• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• A simple-minded computation of heat kernels on Heisenberg groups
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