Imbedding Inequalities for Composition of Green’s and Potential Operators

DOI10.1007/978-3-319-06554-0_13zbMath1332.46038OpenAlexW189087357MaRDI QIDQ2945432

Yuming Xing, Shusen Ding

Publication date: 11 September 2015

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

Full work available at URL: https://doi.org/10.1007/978-3-319-06554-0_13

zbMATH Keywords

differential formspotential operatorimbeddingGreen's operatorA-harmonic equations

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Fractional integrals, potential operators and two-weight, weak type norm inequalities on spaces of homogeneous type
• Global weighted inequalities for operators and harmonic forms on manifolds
• Weighted inequalities for potential operators on differential forms
• Hardy-Littlewood theorems for \(A\)-harmonic tensors
• Integral estimates for null Lagrangians
• \(A_r (\lambda)\)-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
• \(A_{r}^{\lambda}(\Omega)\)-weighted imbedding inequalities for \(A\)-harmonic tensors.
• Inequalities for Differential Forms
• Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds
• L p Theory of Differential Forms on Manifolds

This page was built for publication: Imbedding Inequalities for Composition of Green’s and Potential Operators