Norm comparison inequalities for the composite operator

DOI10.1155/2009/212915zbMath1165.26013OpenAlexW2167404392WikidataQ59249697 ScholiaQ59249697MaRDI QIDQ1008476

Yuming Xing, Shusen Ding

Publication date: 30 March 2009

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

Full work available at URL: https://eudml.org/doc/130309

zbMATH Keywords

inequalitiesdifferential formsHölder inequalityLipschitz norm\(A\)-harmonic equationsBMO norm\(p\)-harmonic equationshomotopy operator, projection operator

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Differential forms in global analysis (58A10)

Related Items (3)

Estimates for Lipschitz and BMO norms of operators on differential forms ⋮ Norms of the composition of the maximal and projection operators ⋮ Global Caccioppoli-type and Poincaré inequalities with Orlicz norms

Cites Work

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• Two-weight imbedding inequalities for solutions to the \(A\)-harmonic equation
• Global weighted inequalities for operators and harmonic forms on manifolds
• Hardy-Littlewood theorems for \(A\)-harmonic tensors
• Integral estimates for null Lagrangians
• Global Poincaré inequalities for Green's operator applied to the solutions of the nonhomogeneous \(A\)-harmonic equation
• \(A_{r}^{\lambda}(\Omega)\)-weighted imbedding inequalities for \(A\)-harmonic tensors.
• Inequalities for Differential Forms
• Weighted Hardy-Littlewood inequality for 𝐴-harmonic tensors
• L p Theory of Differential Forms on Manifolds

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