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 convexcomposition operator on a large class of weighted Hardy spaces is an isometry. Also, we discuss convexity of multiplication operators.
"On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces." Abstr. Appl. Anal. 2009 1 - 9, 2009. https://doi.org/10.1155/2009/931020