Recent advances in \(L^p\)-theory of homotopy operator on differential forms
DOI10.1155/2014/596704zbMath1472.58001OpenAlexW1967849183WikidataQ59039786 ScholiaQ59039786MaRDI QIDQ1724482
Shusen Ding, Yong Wang, Peilin Shi
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/596704
differential formssurvey paperpotential operatorGreen's operatorhomotopy operator\(L^p\)-theorynorm estimates
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Differential forms in global analysis (58A10) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Potential theory on Riemannian manifolds and other spaces (31C12)
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Cites Work
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- Lipschitz and BMO norm inequalities for operators
- Poincaré-type inequalities for the homotopy operator with \(L^{\varphi }(\varOmega )\)-norms
- Fractional integrals, potential operators and two-weight, weak type norm inequalities on spaces of homogeneous type
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- Norms of the composition of the maximal and projection operators
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- Approximate Feedback Linearization: A Homotopy Operator Approach
- Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds
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