\(L^{\varphi}\)-embedding inequalities for some operators on differential forms

DOI10.1186/S13660-015-0887-XzbMath1347.46029OpenAlexW2250753165WikidataQ59411657 ScholiaQ59411657MaRDI QIDQ903378

Yuming Xing, Shusen Ding, Guannan Shi

Publication date: 5 January 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0887-x

zbMATH Keywords

Dirac operatorGreen's operatorhomotopy operator\(L^{\varphi}\)-averaging domains

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Cites Work

• Unnamed Item
• Two-weight imbedding inequalities for solutions to the \(A\)-harmonic equation
• Global estimates for singular integrals of the composite operator
• Some strong \((p,q)\)-type inequalities for the homotopy operator
• Weighted inequalities for potential operators on differential forms
• A singular integral of the composite operator
• Integral estimates for null Lagrangians
• Global Poincaré inequalities for Green's operator applied to the solutions of the nonhomogeneous \(A\)-harmonic equation
• \(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric
• \(A_{r}^{\lambda}(\Omega)\)-weighted imbedding inequalities for \(A\)-harmonic tensors.
• Norm inequalities for composition of the Dirac and Green's operators
• Inequalities for Differential Forms
• L p Theory of Differential Forms on Manifolds

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