Carathéodory operator of differential forms

DOI10.1186/1029-242X-2011-88zbMath1284.47039OpenAlexW2104503535WikidataQ59268118 ScholiaQ59268118MaRDI QIDQ357671

Zhaoyang Tang, Jian-Min Zhu

Publication date: 13 August 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-2011-88

zbMATH Keywords

continuityboundednessdifferential formsCarathéodory operator

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Differential forms in global analysis (58A10) Continuous and differentiable maps in nonlinear functional analysis (46T20)

Related Items (1)

Inequalities for the fractional convolution operator on differential forms

Cites Work

• On p-harmonic functions in the plane and their stream functions
• Global integrability theorems for \(A\)-harmonic tensors
• Conjugate harmonic functions and Clifford algebras
• Caccioppoli's inequality and Legendre-Hadamard condition
• Local and global norm comparison theorems for solutions to the nonhomogeneous A-harmonic equation
• Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds

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