Estimations optimales du noyau de la chaleur sur les groupes de type Heisenberg

DOI10.1515/CRELLE.2010.070zbMath1220.22002MaRDI QIDQ3163867

Hong-Quan Li

Publication date: 27 October 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

optimal estimatesHeisenberg type groupsheat equation, heat kernel

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Heat and other parabolic equation methods for PDEs on manifolds (58J35) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (13)

Estimations Asymptotiques du Noyau de la Chaleur Pour L'opérateur de Grushin ⋮ Asymptotics for the heat kernel on H-type groups ⋮ Gradient estimates for the heat kernels in higher dimensional Heisenberg groups ⋮ Positive curvature property for sub-Laplacian on nilpotent Lie group of rank two ⋮ On the H.-Q. Li inequality on step-two Carnot groups ⋮ On logarithmic Sobolev inequalities for the heat kernel on the Heisenberg group ⋮ Centered Hardy-Littlewood maximal functions on Heisenberg type groups ⋮ Strong hypercontractivity and strong logarithmic Sobolev inequalities for log-subharmonic functions on stratified Lie groups ⋮ On Mean Value formulas for solutions to second order linear PDEs ⋮ Hamilton type gradient estimate for the sub-elliptic operators ⋮ Positive curvature property for some hypoelliptic heat kernels ⋮ Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups* ⋮ Gradient estimates for the heat semigroup on \(\mathbb H\)-type groups

Cites Work

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• About Riesz transforms on the Heisenberg groups
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• Estimation optimale du gradient du semi-groupe de la chaleur sur le groupe de Heisenberg
• SHARP HEAT KERNEL BOUNDS FOR SOME LAPLACE OPERATORS
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• DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY
• Characterisation of the sub-Riemannian isometry groups of theH-type groups
• Dispersive and Strichartz estimates on H-type groups
• A simple-minded computation of heat kernels on Heisenberg groups
• The heat kernel on H-type groups
• Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem
• MASS TRANSPORTATION IN GROUPS OF TYPE H
• Besov spaces and Strichartz estimates on the Heisenberg group

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