Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups

DOI10.1090/tran/7200zbMath1394.35532arXiv1510.05151OpenAlexW2199118727WikidataQ115280610 ScholiaQ115280610MaRDI QIDQ4567901

Leonard Gross, Laurent Saloff-Coste, Nathaniel Eldredge

Publication date: 20 June 2018

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

Full work available at URL: https://arxiv.org/abs/1510.05151

zbMATH Keywords

logarithmic Sobolev inequalityhypoelliptic heat kernelstrong hypercontractivityholomorphic \(L^p\) spacestratified complex Lie group

Mathematics Subject Classification ID

(L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Heat kernels in several complex variables (32W30)

Related Items (3)

On complex H-type Lie algebras ⋮ 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*

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