On critical cases of Sobolev's inequalities for Heisenberg groups

DOI10.1016/S0252-9602(12)60125-8zbMath1274.22008OpenAlexW2065200578MaRDI QIDQ1954096

Qiao-Hua Yang

Publication date: 20 June 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(12)60125-8

zbMATH Keywords

Heisenberg groupSobolev's inequalityBrezis-Gallouet-Wainger inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nilpotent and solvable Lie groups (22E25) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

Critical Gagliardo–Nirenberg, Trudinger, Brezis–Gallouet–Wainger inequalities on graded groups and ground states ⋮ Higher-order compact embeddings of function spaces on Carnot-Carathéodory spaces ⋮ Higher‐order Sobolev‐type embeddings on Carnot–Carathéodory spaces

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