Norm inequalities for composition of the Dirac and Green's operators
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Publication:2017017
DOI10.1186/1029-242X-2013-436zbMath1404.47002WikidataQ59304504 ScholiaQ59304504MaRDI QIDQ2017017
Publication date: 25 June 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Differential forms in global analysis (58A10) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Related Items (7)
Embedding theorems for composition of homotopy and projection operators ⋮ Higher integrability of iterated operators on differential forms ⋮ \(L^{\varphi}\)-embedding inequalities for some operators on differential forms ⋮ Estimates for \(L^\varphi \)-Lipschitz and \(L^\varphi \)-BMO norms of differential forms ⋮ Some higher norm inequalities for composition of power operators ⋮ Boundedness characterization of composite operator with Orlicz-Lipschitz norm and Orlicz-BMO norm ⋮ Dirac-harmonic equations for differential forms
Cites Work
- Two-weight imbedding inequalities for solutions to the \(A\)-harmonic equation
- Poincaré-type inequalities with \(L^p(\log L)^\alpha\)-norms for Green's operator
- Integral estimates for null Lagrangians
- \(A_{r} (\lambda)\)-weighted Caccioppoli-type and Poincaré-type inequalities for \(A\)-harmonic tensors
- Global Poincaré inequalities for Green's operator applied to the solutions of the nonhomogeneous \(A\)-harmonic equation
- \(A_{r}^{\lambda}(\Omega)\)-weighted imbedding inequalities for \(A\)-harmonic tensors.
- Weighted integral inequalities for solutions of the \(A\)-harmonic equation
- Nonlinear Dirac equations on Riemann surfaces
- Regularity theorems and energy identities for Dirac-harmonic maps
- Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds
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