Advances in Difference Equations
Volume 2011 (2011), Article ID 659597, 11 pages
doi:10.1155/2011/659597
Research Article

Weighted Inequalities for Potential Operators with Lipschitz and BMO Norms

Yuxia Tong and Jiantao Gu

College of Science, Hebei United University, Tangshan 063009, China

Received 1 January 2011; Accepted 7 March 2011

Academic Editor: Jin Liang

Copyright © 2011 Yuxia Tong and Jiantao Gu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Some Lipschitz norm and BMO norm inequalities for potential operator to the versions of differential forms are obtained, and some properties of a new kind of 𝐴 𝜆 3 𝑟 ( 𝜆 1 , 𝜆 2 , Ω ) weight are derived.