Some local Poincaré inequalities for the composition of the sharp maximal operator and the Green's operator

DOI10.1016/j.camwa.2011.11.036zbMath1238.42006OpenAlexW2038768189MaRDI QIDQ418390

Bao Gejun, Ling, Yi

Publication date: 28 May 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.11.036

zbMATH Keywords

Orlicz normPoincaré-type inequalitiesthe sharp maximal operator and the Green's operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (6)

Lipschitz and BMO norm inequalities for the composition operator on differential forms ⋮ Norm comparison estimates for the composite operator ⋮ Poincaré-type inequalities for the composite operator in \(L^{\mathcal{A}}\)-averaging domains ⋮ Global Poincaré inequalities for the composition of the sharp maximal operator and Green's operator with Orlicz norms ⋮ The higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms ⋮ Estimates for \(L^\varphi \)-Lipschitz and \(L^\varphi \)-BMO norms of differential forms

Cites Work

• \(L(\varphi ,\mu )\)-averaging domains and Poincaré inequalities with Orlicz norms
• Global estimates for singular integrals of the composition of the maximal operator and the Green's operator
• Global integrability theorems for \(A\)-harmonic tensors
• Orlicz-Hardy inequalities
• \(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric
• Inequalities for Differential Forms
• General Relativity for Mathematicians
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