A new weight class and Poincaré inequalities with the Radon measure
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Publication:368024
DOI10.1186/1029-242X-2012-32zbMath1279.26038WikidataQ59290417 ScholiaQ59290417MaRDI QIDQ368024
Publication date: 17 September 2013
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Differential forms in global analysis (58A10) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (9)
Lipschitz and BMO norm inequalities for the composition operator on differential forms ⋮ On Morrey-type classes of harmonic functions ⋮ Orlicz Norm Inequalities for Conjugate Harmonic Forms ⋮ Integral estimates for the potential operator on differential forms ⋮ Norm comparison estimates for the composite operator ⋮ Weighted Hardy-Littlewood theorems for conjugate \(A\)-harmonic tensors ⋮ Advances in study of Poincaré inequalities and related operators ⋮ Estimates for \(L^\varphi \)-Lipschitz and \(L^\varphi \)-BMO norms of differential forms ⋮ Dirac-harmonic equations for differential forms
Cites Work
- Weighted Poincaré-type inequalities for differential forms in \(L^s(\mu)\)-averaging domains
- Integral estimates for null Lagrangians
- \(L^{s}(\mu)\)-averaging domains
- \(A_r (\lambda)\)-weighted integral inequalities for \(A\)-harmonic tensors
- \(A_{r} (\lambda)\)-weighted Caccioppoli-type and Poincaré-type inequalities for \(A\)-harmonic tensors
- 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.
- Weighted integral inequalities for solutions of the \(A\)-harmonic equation
- Separable anisotropic differential operators in weighted abstract spaces and applications
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