A subelliptic Bourgain-Brezis inequality

DOI10.4171/JEMS/443zbMath1295.35201arXiv1210.1973MaRDI QIDQ2449822

Po-Lam Yung, Yi Wang

Publication date: 12 May 2014

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1973

zbMATH Keywords

Gagliardo-Nirenberg inequalityhomogeneous groupscritical Sobolev embeddingcompensation phenomena

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (8)

Gagliardo-Nirenberg inequalities for differential forms in Heisenberg groups ⋮ Limiting Sobolev and Hardy inequalities on stratified homogeneous groups ⋮ Sharp a priori estimates for div-curl systems in Heisenberg groups ⋮ Approximation in higher-order Sobolev spaces and Hodge systems ⋮ Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations ⋮ Gagliardo-Nirenberg Inequalities for Horizontal Vector Fields in the Engel Group and in the Seven-Dimensional Quaternionic Heisenberg Group ⋮ Approximation of critical regularity functions on stratified homogeneous groups ⋮ Bourgain-Brezis inequalities on symmetric spaces of non-compact type

Cites Work

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• On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases

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