On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces

Karim Hedayatian and Lotfollah Karimi

Abstract and Applied Analysis, 2009, vol. 2009, 1-9

Abstract:

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.

Date: 2009
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2009/931020.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2009/931020.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:931020

DOI: 10.1155/2009/931020

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().