Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 928150, 10 pages
doi:10.1155/2010/928150
Research Article

Some Estimates of Integrals with a Composition Operator

Bing Liu

Department of Mathematical Science, Saginaw Valley State University, University Center, MI 48710, USA

Received 27 December 2009; Revised 11 March 2010; Accepted 16 March 2010

Academic Editor: Yuming Xing

Copyright © 2010 Bing Liu. 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

We give some estimates of integrals with a composition operator, namely, composition of homotopy, differential, and Green's operators T∘d∘G, with the Lipschitz and BMO norms. We also have estimates of those integrals with a singular factor.