Poincaré inequalities for composition operators with \(L^\varphi -\)norm

DOI10.1155/2014/818201zbMath1474.35036OpenAlexW2019488418WikidataQ59041772 ScholiaQ59041772MaRDI QIDQ1725057

Ru Fang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/818201

Mathematics Subject Classification ID

Linear composition operators (47B33) Inequalities involving derivatives and differential and integral operators (26D10) Connections of harmonic functions with differential equations in higher dimensions (31B35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (3)

Higher integrability of Green's operator and homotopy operator ⋮ Higher integrability of iterated operators on differential forms ⋮ Dirac-harmonic equations for differential forms

Cites Work

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• \(L(\varphi ,\mu )\)-averaging domains and Poincaré inequalities with Orlicz norms
• A singular integral of the composite operator
• Integral estimates for null Lagrangians
• \(A_r (\lambda)\)-weighted integral inequalities for \(A\)-harmonic tensors
• Global integrability theorems for \(A\)-harmonic tensors
• Orlicz-Hardy inequalities
• 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
• Thresholds of survival for an \(n\)-dimensional Volterra mutualistic system in a polluted environment
• Weighted Poincaré inequalities for solutions to \(A\)-harmonic equations.
• Weighted Poincaré-type estimates for conjugate \(A\)-harmonic tensors
• Inequalities for Differential Forms
• Weighted Caccioppoli-type estimates and weak reverse Hölder inequalities for 𝐴-harmonic tensors

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