Orlicz norm inequalities for the composite operator and applications

DOI10.1186/1029-242X-2011-69zbMath1275.26023OpenAlexW2167489061WikidataQ59270078 ScholiaQ59270078MaRDI QIDQ357356

Shusen Ding, Hui Bi

Publication date: 30 July 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2011-69

zbMATH Keywords

Orlicz norm\(L^\phi(\mu)\)-averaging domainsthe homotopy operatorthe projection operator

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Implicit function theorems, Jacobians, transformations with several variables (26B10) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Other analytical inequalities (26D20)

Related Items (4)

Embedding theorems for composition of homotopy and projection operators ⋮ Poincaré-type inequalities for the composite operator in \(L^{\mathcal{A}}\)-averaging domains ⋮ Estimates for \(L^\varphi \)-Lipschitz and \(L^\varphi \)-BMO norms of differential forms ⋮ Boundedness characterization of composite operator with Orlicz-Lipschitz norm and Orlicz-BMO norm

Cites Work

• A singular integral of the composite operator
• Integral estimates for null Lagrangians
• \(L^{s}(\mu)\)-averaging domains
• Global integrability theorems for \(A\)-harmonic tensors
• \(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric
• Caccioppoli inequalities with Orlicz norms for solutions of harmonic equations and applications

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