The Sobolev embedding constant on Lie groups

DOI10.1016/j.na.2021.112707zbMath1492.46032arXiv2006.07056OpenAlexW4206060132WikidataQ115342810 ScholiaQ115342810MaRDI QIDQ2069852

Maria Vallarino, Tommaso Bruno, Marco M. Peloso

Publication date: 21 January 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07056

zbMATH Keywords

Sobolev embeddingsLie groupsbest constantMoser-Trudinger inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

Homogeneous algebras via heat kernel estimates ⋮ Local and non‐local Poincaré inequalities on Lie groups ⋮ Pointwise multipliers for Triebel-Lizorkin and Besov spaces on Lie groups

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