Copyright © 2009 Karim Hedayatian and Lotfollah Karimi. 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.
A bounded linear operator on a Hilbert space , satisfying for every , is called a convex operator. In this paper, we give necessary and sufficient conditions under which a convex
composition operator on a large class of weighted Hardy spaces is an isometry. Also, we discuss convexity of multiplication operators.