Weighted inequalities for potential operators on differential forms
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Publication:962515
DOI10.1155/2010/713625zbMath1193.47054OpenAlexW2044349988WikidataQ59250199 ScholiaQ59250199MaRDI QIDQ962515
Publication date: 7 April 2010
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/232017
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Differential forms in global analysis (58A10) Inequalities involving derivatives and differential and integral operators (26D10) Potential operators (47G40)
Related Items (19)
Embedding theorems for composition of homotopy and projection operators ⋮ Inequalities for the fractional convolution operator on differential forms ⋮ Higher integrability of Green's operator and homotopy operator ⋮ Higher integrability of iterated operators on differential forms ⋮ Integral estimates for the potential operator on differential forms ⋮ Imbedding Inequalities for Composition of Green’s and Potential Operators ⋮ \(L^{\varphi}\)-embedding inequalities for some operators on differential forms ⋮ Integral Norm Inequalities for Various Operators on Differential Forms ⋮ Imbedding theorems in Orlicz-Sobolev space of differential forms ⋮ Norm comparison estimates for the composite operator ⋮ Recent advances in \(L^p\)-theory of homotopy operator on differential forms ⋮ Poincaré-type inequalities for the composite operator in \(L^{\mathcal{A}}\)-averaging domains ⋮ The higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms ⋮ Weighted inequalities for potential operators with Lipschitz and BMO norms ⋮ Some higher norm inequalities for composition of power operators ⋮ Weak and strong type estimates for multilinear Calderón-Zygmund operators on differential forms ⋮ Characterization of the non-homogenous Dirac-harmonic equation ⋮ Zeros for the gradients of weakly \(A\)-harmonic tensors ⋮ Dirac-harmonic equations for differential forms
Cites Work
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- Fractional integrals, potential operators and two-weight, weak type norm inequalities on spaces of homogeneous type
- Hardy-Littlewood theorems for \(A\)-harmonic tensors
- Differential forms and applications. Transl. from the Portuguese
- Inequalities for Differential Forms
- Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
- Two-weight, weak-type norm inequalities for fractional integrals, Calderon-Zygmund operators
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