On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces
Joint Authors
Karimi, Lotfollah
Hedayatian, Karim
Source
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A bounded linear operator T on a Hilbert space ℋ, satisfying ∥T2h∥2+∥h∥2≥2∥Th∥2 for every h∈ℋ, 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.
American Psychological Association (APA)
Hedayatian, Karim& Karimi, Lotfollah. 2009. On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-988284
Modern Language Association (MLA)
Hedayatian, Karim& Karimi, Lotfollah. On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces. Abstract and Applied Analysis No. 2009 (2009), pp.1-9.
https://search.emarefa.net/detail/BIM-988284
American Medical Association (AMA)
Hedayatian, Karim& Karimi, Lotfollah. On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-988284
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-988284
