Global Poincaré inequalities for the composition of the sharp maximal operator and Green's operator with Orlicz norms

DOI10.1186/1029-242X-2013-526zbMath1302.46021OpenAlexW1978092271WikidataQ59301975 ScholiaQ59301975MaRDI QIDQ2250342

Yanyan Li

Publication date: 7 July 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-2013-526

zbMATH Keywords

Orlicz normPoincaré-type inequalitiesGreen's operatorsharp maximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Cites Work

• Some local Poincaré inequalities for the composition of the sharp maximal operator and the Green's operator
• \(L(\varphi ,\mu )\)-averaging domains and Poincaré inequalities with Orlicz norms

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