Poincaré inequalities and the sharp maximal inequalities with \(L^{\varphi}\)-norms for differential forms

DOI10.1186/1029-242X-2013-400zbMath1297.46027OpenAlexW2024005291WikidataQ59300970 ScholiaQ59300970MaRDI QIDQ2441891

Gejun Bao, Yueming Lu

Publication date: 28 March 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-400

zbMATH Keywords

differential formsPoincaré inequalitiesnonstandard growth conditionssharp maximal inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Differential forms in global analysis (58A10)

Related Items (1)

Embedding theorems for composition of homotopy and projection operators

Cites Work

• Poincaré-type inequalities for the homotopy operator with \(L^{\varphi }(\varOmega )\)-norms
• \(L(\varphi ,\mu )\)-averaging domains and Poincaré inequalities with Orlicz norms
• Integral estimates for null Lagrangians
• Higher integrability of the gradient of minimizers of functional with nonstandard growth conditions

This page was built for publication: Poincaré inequalities and the sharp maximal inequalities with \(L^{\varphi}\)-norms for differential forms