Work

Sharp defective log-Sobolev inequalities on H-type groups

Year: 2024

Type: preprint

Abstract: In this paper we prove a sharp defective log-Sobolev inequality on H-type groups. Then we use such an inequality to show exponential integrability of Lipschitz functions with respect to the heat kernel measure. A defective log-Sobolev-type inequality for the Gaussian-like measure with respect to the sub-Riemannian distance is also proved on arbitrary H-type groups.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2410.15566

Authors: Antonelli, Gioacchino, Calzi, Mattia, Gordina, Maria

Institutions: Courant Institute of Mathematical Sciences, New York University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4404088806

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