Integral estimates for the potential operator on differential forms
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Publication:355534
DOI10.1155/2013/108623zbMath1285.47056OpenAlexW2012712658WikidataQ58922443 ScholiaQ58922443MaRDI QIDQ355534
Publication date: 25 July 2013
Published in: International Journal of Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/108623
Differential forms in global analysis (58A10) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Inequalities involving derivatives and differential and integral operators (26D10) Kernel operators (47B34) Potential operators (47G40)
Related Items (5)
ORLICZ SPACES OF DIFFERENTIAL FORMS ON RIEMANNIAN MANIFOLDS: DUALITY AND COHOMOLOGY ⋮ Poincaré-type inequalities for the composite operator in \(L^{\mathcal{A}}\)-averaging domains ⋮ Estimates for \(L^\varphi \)-Lipschitz and \(L^\varphi \)-BMO norms of differential forms ⋮ Boundedness characterization of composite operator with Orlicz-Lipschitz norm and Orlicz-BMO norm ⋮ Weak and strong type estimates for multilinear Calderón-Zygmund operators on differential forms
Cites Work
- A new weight class and Poincaré inequalities with the Radon measure
- Poincaré-type inequalities with \(L^p(\log L)^\alpha\)-norms for Green's operator
- Weighted inequalities for potential operators on differential forms
- BMO and Lipschitz norm estimates for composite operators
- \(L^{s}(\mu)\)-averaging domains
- Orlicz-Hardy inequalities
- \(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric
- \(A_{r}^{\lambda}(\Omega)\)-weighted imbedding inequalities for \(A\)-harmonic tensors.
- Weighted integral inequalities for solutions of the \(A\)-harmonic equation
- Two-weight Poincaré-type inequalities for differential forms in \(L^s(\mu )\)-averaging domains
- L^p-averaging domains and the Poincaré inequality
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