On the Lie algebra of polarizable Carnot groups

DOI10.1007/S13324-020-00438-4zbMath1461.53019arXiv1902.05929OpenAlexW3102210232WikidataQ115376034 ScholiaQ115376034MaRDI QIDQ2220128

Thomas Bieske

Publication date: 21 January 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.05929

zbMATH Keywords

\(p\)-Laplaciansub-Riemannian geometrygroup of Heisenberg-typepolarizable Carnot group

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Lie algebras of Lie groups (22E60) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) Other generalizations (nonlinear potential theory, etc.) (31C45) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20)

Related Items (1)

Coercive inequalities in higher-dimensional anisotropic Heisenberg group

Cites Work

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• Quasiregular maps on Carnot groups
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Polar coordinates in Carnot groups
• The Green function of model step two hypoelliptic operators and the analysis of certain tangential Cauchy Riemann complexes
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Sharp measure contraction property for generalized H-type Carnot groups
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations

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