Green’s Operator and Differential Forms
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Publication:3193153
DOI10.1007/978-1-4939-0258-3_14zbMath1329.47045OpenAlexW1098072MaRDI QIDQ3193153
Publication date: 15 October 2015
Published in: Analytic Number Theory, Approximation Theory, and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4939-0258-3_14
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fundamental solutions to PDEs (35A08) General theory of partial differential operators (47F05) Differential forms in global analysis (58A10) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Connections of harmonic functions with differential equations in higher dimensions (31B35)
Cites Work
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- Singular integrals of the compositions of Laplace-Beltrami and Green's operators
- Inequalities for Green's operator applied to the minimizers
- Global weighted inequalities for operators and harmonic forms on manifolds
- Global estimates for singular integrals of the composite operator
- Poincaré-type inequalities with \(L^p(\log L)^\alpha\)-norms for Green's operator
- Inequalities for Green's operator with Lipschitz and BMO norms
- On the regularity of the minima of variational integrals
- Hardy-Littlewood theorems for \(A\)-harmonic tensors
- Integral estimates for the Laplace-Beltrami and Green's operators applied to differential forms on manifolds
- \(A_r (\lambda)\)-weighted integral inequalities for \(A\)-harmonic tensors
- Orlicz-Hardy inequalities
- Global Poincaré inequalities for Green's operator applied to the solutions of the nonhomogeneous \(A\)-harmonic equation
- Weighted Poincaré inequalities for solutions to \(A\)-harmonic equations.
- Weighted integral inequalities for solutions of the \(A\)-harmonic equation
- Inequalities for Differential Forms
- Inserting A p -Weights
- A Caccioppoli inequality and partial regularity in the calculus of variations
- Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds
- L p Theory of Differential Forms on Manifolds
