Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 723234, 12 pages
doi:10.1155/2010/723234
Research Article

Global Estimates for Singular Integrals of the Composition of the Maximal Operator and the Green's Operator

Yi Ling and Hanson M. Umoh

Department of Mathematical Sciences, Delaware State University, Dover, DE 19901, USA

Received 31 December 2009; Accepted 12 March 2010

Academic Editor: Shusen Ding

Copyright © 2010 Yi Ling and Hanson M. Umoh. 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 establish the Poincaré type inequalities for the composition of the maximal operator and the Green's operator in John domains.