Weighted Poincaré-type inequalities for differential forms in \(L^s(\mu)\)-averaging domains
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Publication:1273696
DOI10.1006/jmaa.1998.6096zbMath0918.26013OpenAlexW2028916660MaRDI QIDQ1273696
Publication date: 3 August 1999
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1998.6096
Differential forms in global analysis (58A10) Fourier series and coefficients in several variables (42B05) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (18)
\(L^p\)-averaging domains in homogeneous spaces ⋮ Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds ⋮ Advances in differential forms and the \(A\)-harmonic equation ⋮ A new weight class and Poincaré inequalities with the Radon measure ⋮ \(A_r^{\lambda_3}(\lambda_1,\lambda_2,\Omega )\)-weighted inequalities with Lipschitz and BMO norms ⋮ Weighted integral inequalities for conjugate \(A\)-harmonic tensors. ⋮ Weighted Hardy-Littlewood theorems for conjugate \(A\)-harmonic tensors ⋮ Two-weight Poincaré-type inequalities for differential forms in \(L^s(\mu )\)-averaging domains ⋮ Advances in study of Poincaré inequalities and related operators ⋮ \(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric ⋮ Two-weight imbedding inequalities for solutions to the \(A\)-harmonic equation ⋮ Hardy-Littlewood and Caccioppoli-type inequalities for \(A\)-harmonic tensors ⋮ Invariance properties of \(L^\varphi (\mu)\)-averaging domains under some mappings ⋮ \(A_{r}(\Omega)\)-weighted inequalities for \(A\)-harmonic tensors and related operators ⋮ Weighted norm inequalities for solutions to the nonhomogeneous \(A\)-harmonic equation ⋮ \(A_r (\lambda)\)-weighted integral inequalities for \(A\)-harmonic tensors ⋮ Weak reverse Hölder inequalities and imbedding inequalities for solutions to the \(A\)-harmonic equation ⋮ \(A_{r}^{\lambda}(\Omega)\)-weighted imbedding inequalities for \(A\)-harmonic tensors.
Cites Work
- Convexity conditions and existence theorems in nonlinear elasticity
- Integral estimates for null Lagrangians
- \(L^{s}(\mu)\)-averaging domains
- Quasiregular mappings in even dimensions
- \(p\)-harmonic tensors and quasiregular mappings
- L^p-averaging domains and the Poincaré inequality
- Weighted Hardy-Littlewood inequality for 𝐴-harmonic tensors
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