Some weighted norm estimates for the composition of the homotopy and Green's operator

DOI10.1155/2014/941658zbMath1474.42079OpenAlexW1979737266WikidataQ59043003 ScholiaQ59043003MaRDI QIDQ1725331

Huacan Li, Qunfang Li

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/941658

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Linear composition operators (47B33)

Related Items (4)

Higher integrability of Green's operator and homotopy operator ⋮ Higher integrability of iterated operators on differential forms ⋮ Some higher norm inequalities for composition of power operators ⋮ Dirac-harmonic equations for differential forms

Cites Work

• Unnamed Item
• Some strong \((p,q)\)-type inequalities for the homotopy operator
• Poincaré inequalities with the Radon measure for differential forms
• A singular integral of the composite operator
• Hardy-Littlewood theorems for \(A\)-harmonic tensors
• Integral estimates for null Lagrangians
• Integral estimates for the Laplace-Beltrami and Green's operators applied to differential forms on manifolds
• Sobolev inequalities for differential forms and \(L_{q,p}\)-cohomology
• L p Theory of Differential Forms on Manifolds

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