Weighted Hardy-Littlewood theorems for conjugate \(A\)-harmonic tensors

DOI10.1007/S10773-014-2155-0zbMath1304.42051OpenAlexW2040325421MaRDI QIDQ481344

Haiyu Wen

Publication date: 12 December 2014

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-014-2155-0

zbMATH Keywords

differential formsHardy-Littlewood inequalities\(A\)-harmonic tensors

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Differential forms in global analysis (58A10) Harmonic analysis and PDEs (42B37)

Cites Work

• A new weight class and Poincaré inequalities with the Radon measure
• Advances in differential forms and the \(A\)-harmonic equation
• Weighted norm inequalities for solutions to the nonhomogeneous \(A\)-harmonic equation
• Weighted Poincaré-type inequalities for differential forms in \(L^s(\mu)\)-averaging domains
• Hardy-Littlewood theorems for \(A\)-harmonic tensors
• Integral estimates for null Lagrangians
• \(A_r (\lambda)\)-weighted integral inequalities for \(A\)-harmonic tensors
• Sharp Hodge decompositions, Maxwell's equations, and vector Poisson problems on nonsmooth, three-dimensional Riemannian manifolds
• \(A_{r}^{\lambda}(\Omega)\)-weighted imbedding inequalities for \(A\)-harmonic tensors.
• Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture
• Inequalities for Differential Forms
• Weighted Hardy-Littlewood inequality for 𝐴-harmonic tensors
• Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds

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