Coercive Inequalities in Higher-Dimensional Anisotropic Heisenberg Group

Coercive Inequalities in Higher-Dimensional Anisotropic Heisenberg Group

In the setting of higher-dimensional anisotropic Heisenberg group, we compute the fundamental solution for the sub-Laplacian, and we prove Poincar\'e and $\beta-$Logarithmic Sobolev inequalities for measures as a function of this fundamental solution.

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Hauptverfasser: Dagher, Esther Bou, Zegarlinski, Boguslaw
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Functional Analysis
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Zusammenfassung:In the setting of higher-dimensional anisotropic Heisenberg group, we compute the fundamental solution for the sub-Laplacian, and we prove Poincar\'e and $\beta-$Logarithmic Sobolev inequalities for measures as a function of this fundamental solution.
DOI:10.48550/arxiv.2105.02593