Department of Mathematical Sciences, Delaware State University, Dover, DE 19901, USA
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.
We establish the Poincaré type inequalities for the composition of the maximal operator and the Green's operator in John domains.