On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces
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...
Saved in:
Main Authors: | Karim Hedayatian, Lotfollah Karimi |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2009-01-01
|
Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2009/931020 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Fredholm Weighted Composition Operator on Weighted Hardy Space
by: Liankuo Zhao
Published: (2013-01-01) -
On the Norm of Certain Weighted Composition Operators on the Hardy Space
by: M. Haji Shaabani, et al.
Published: (2009-01-01) -
Weighted Composition Operators from Hardy Spaces into Logarithmic Bloch Spaces
by: Flavia Colonna, et al.
Published: (2012-01-01) -
Weighted Composition Operators from Derivative Hardy Spaces into n-th Weighted-Type Spaces
by: Nanhui Hu
Published: (2021-01-01) -
Multiplication operators on weighted spaces in the non-locally convex framework
by: L. A. Khan, et al.
Published: (1997-01-01)