On the Norm of Certain Weighted Composition Operators on the Hardy Space-Reference-Cited by-同舟云学术

On the Norm of Certain Weighted Composition Operators on the Hardy Space

Published:2009 Issue: Volume:2009 Page:1-13
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Haji Shaabani M.¹,Khani Robati B.¹

Affiliation:

1. Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran

Abstract

We obtain a representation for the norm of certain compact weighted composition operator on the Hardy space , whenever and . We also estimate the norm and essential norm of a class of noncompact weighted composition operators under certain conditions on and . Moreover, we characterize the norm and essential norm of such operators in a special case.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2009/720217.pdf

Reference30 articles.

1. Composition Operators

2. Linear fractional composition operators on H2

3. Subnormality and composition operators on H2

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