Weighted Poincaré-type estimates for conjugate \(A\)-harmonic tensors

DOI10.1155/JIA.2005.1zbMath1087.31009MaRDI QIDQ2569953

Yuming Xing

Publication date: 24 October 2005

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

Full work available at URL: https://eudml.org/doc/125984

zbMATH Keywords

Green's operator\(A\)-harmonic equationHodge codifferential operatorPoincaré-type estimates

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Hodge theory in global analysis (58A14) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (15)

Embedding theorems for composition of homotopy and projection operators ⋮ Local and global norm comparison theorems for solutions to the nonhomogeneous A-harmonic equation ⋮ Global estimates for singular integrals of the composite operator ⋮ Imbedding theorems in Orlicz-Sobolev space of differential forms ⋮ Recent advances in \(L^p\)-theory of homotopy operator on differential forms ⋮ Poincaré inequalities for composition operators with \(L^\varphi -\)norm ⋮ Poincaré inequalities with Luxemburg norms in \(L^{\varphi}(m)\)-averaging domains ⋮ Poincaré-type inequalities for the homotopy operator with \(L^{\varphi }(\varOmega )\)-norms ⋮ \(L(\varphi ,\mu )\)-averaging domains and Poincaré inequalities with Orlicz norms ⋮ Hardy-Littlewood and Caccioppoli-type inequalities for \(A\)-harmonic tensors ⋮ Global Caccioppoli-type and Poincaré inequalities with Orlicz norms ⋮ Some estimates of integrals with a composition operator ⋮ Poincaré inequalities with the Radon measure for differential forms ⋮ A singular integral of the composite operator ⋮ Weighted norm inequalities for solutions to the nonhomogeneous \(A\)-harmonic equation

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