Higher integrability of iterated operators on differential forms
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Publication:326783
DOI10.1016/j.na.2016.07.012zbMath1382.58001OpenAlexW2517999799MaRDI QIDQ326783
Shusen Ding, Guannan Shi, Yuming Xing
Publication date: 12 October 2016
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2016.07.012
higher integrabilityGreen's and Dirac operatorshigher order imbedding inequalitiesiterated operators
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Differential forms in global analysis (58A10)
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Cites Work
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- Singular integrals of the compositions of Laplace-Beltrami and Green's operators
- Global estimates for singular integrals of the composite operator
- Poincaré-type inequalities with \(L^p(\log L)^\alpha\)-norms for Green's operator
- Some strong \((p,q)\)-type inequalities for the homotopy operator
- Weighted inequalities for potential operators on differential forms
- \(A\)-harmonic equations and the Dirac operator
- Hardy-Littlewood theorems for \(A\)-harmonic tensors
- Integral estimates for null Lagrangians
- Poincaré inequalities for composition operators with \(L^\varphi -\)norm
- Some weighted norm estimates for the composition of the homotopy and Green's operator
- Global Poincaré inequalities for Green's operator applied to the solutions of the nonhomogeneous \(A\)-harmonic equation
- \(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric
- Weighted integral inequalities for solutions of the \(A\)-harmonic equation
- Norm inequalities for composition of the Dirac and Green's operators
- Norm comparison estimates for the composite operator
- Inequalities for Differential Forms
- L^p-averaging domains and the Poincaré inequality
- Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds
- L p Theory of Differential Forms on Manifolds
