Inequalities for two type potential operators on differential forms

DOI10.1016/J.JMAA.2014.03.048zbMath1311.47063OpenAlexW2002664558MaRDI QIDQ483024

Yuming Xing, Yu Wang

Publication date: 15 December 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.048

zbMATH Keywords

differential formspotential operatornorm inequalitiesCaccioppoli-type inequalities

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Differential forms in global analysis (58A10) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Potential operators (47G40)

Related Items (3)

Inequalities for the fractional convolution operator on differential forms ⋮ Boundedness characterization of composite operator with Orlicz-Lipschitz norm and Orlicz-BMO norm ⋮ Weak and strong type estimates for multilinear Calderón-Zygmund operators on differential forms

Cites Work

• Unnamed Item
• The trace inequality and eigenvalue estimates for Schrödinger operators
• Hardy-Littlewood theorems for \(A\)-harmonic tensors
• Potential operators, maximal functions, and generalizations of \(A_{\infty}\)
• Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
• Inserting A p -Weights
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• Weighted Norm Inequalities for Fractional Integrals
• L p Theory of Differential Forms on Manifolds

This page was built for publication: Inequalities for two type potential operators on differential forms