Lipschitz and BMO norm inequalities for the composition operator on differential forms

DOI10.1186/s13660-015-0896-9zbMath1351.46026OpenAlexW2172657710WikidataQ59436267 ScholiaQ59436267MaRDI QIDQ264397

Yong Wang, Xuexin Li, Yuming Xing

Publication date: 31 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0896-9

zbMATH Keywords

Dirac operatornorm inequalitydifferential form

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Differential forms in global analysis (58A10) Linear composition operators (47B33)

Related Items (2)

Estimates for Lipschitz and BMO norms of operators on differential forms ⋮ Estimates for \(L^\varphi \)-Lipschitz and \(L^\varphi \)-BMO norms of differential forms

Cites Work

• A new weight class and Poincaré inequalities with the Radon measure
• Some local Poincaré inequalities for the composition of the sharp maximal operator and the Green's operator
• Poincaré-type inequalities with \(L^p(\log L)^\alpha\)-norms for Green's operator
• \(A\)-harmonic equations and the Dirac operator
• Inequalities for Green's operator with Lipschitz and BMO norms
• Integral estimates for null Lagrangians
• Integral estimates for the Laplace-Beltrami and Green's operators applied to differential forms on manifolds
• \(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric
• Inequalities for Differential Forms
• L p Theory of Differential Forms on Manifolds

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