Open Access
Translator Disclaimer
2009 On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces
Karim Hedayatian, Lotfollah Karimi
Abstr. Appl. Anal. 2009: 1-9 (2009). DOI: 10.1155/2009/931020

Abstract

A bounded linear operator T on a Hilbert space , satisfying T2h2+h22Th2 for every h, 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.

Citation

Download Citation

Karim Hedayatian. Lotfollah Karimi. "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

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1191.47040
MathSciNet: MR2564003
Digital Object Identifier: 10.1155/2009/931020

Rights: Copyright © 2009 Hindawi

JOURNAL ARTICLE
9 PAGES


SHARE
Vol.2009 • 2009
Back to Top