Integral Estimates for the Potential Operator on Differential Forms-Reference-Cited by-同舟云学术

Integral Estimates for the Potential Operator on Differential Forms

Published:2013-01-30 Issue: Volume:2013 Page:1-6
ISSN:2314-498X
Container-title:International Journal of Analysis
language:en
Short-container-title:International Journal of Analysis

Author:

Johnson Casey¹,Ding Shusen¹

Affiliation:

1. Department of Mathematics, Seattle University, Seattle, WA 98122, USA

Abstract

We develop the local inequalities with new weights for the potential operator applied to differential forms. We also prove the global weighted norm inequalities for the potential operator in averaging domains and explore applications of our new results.

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/archive/2013/108623.pdf

Reference12 articles.

1. Weighted Inequalities for Potential Operators on Differential Forms

2. Poincaré-type inequalities with Lp(logL)α-norms for Green’s operator

3. Arλ(Ω)-weighted imbedding inequalities for A-harmonic tensors

4. Two-weight Poincaré-type inequalities for differential forms in Ls(μ)-averaging domains

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