Some Orlicz norms inequalities for the composite operator \(T \circ d \circ H\)

DOI10.1186/1029-242X-2011-105zbMath1440.58001OpenAlexW2100624719WikidataQ59268003 ScholiaQ59268003MaRDI QIDQ366038

Zhimin Dai, Gejun Bao, Yong Wang

Publication date: 10 September 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-2011-105

zbMATH Keywords

composite operator\(L^\phi(\mu)\)-averaging domainsOrlicz norms

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Differential forms in global analysis (58A10)

Cites Work

• Advances in differential forms and the \(A\)-harmonic equation
• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• \(L(\varphi ,\mu )\)-averaging domains and Poincaré inequalities with Orlicz norms
• Analytic functions satisfying Hölder conditions on the boundary
• The monotonic property of \(L^s(\mu)\)-averaging domains and weighted weak reverse Hölder inequality
• Integral estimates for null Lagrangians
• \(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric
• Caccioppoli inequalities with Orlicz norms for solutions of harmonic equations and applications
• Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds
• L p Theory of Differential Forms on Manifolds
• The 𝐿^{𝑝}-integrability of the partial derivatives of a quasiconformal mapping

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