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

被引：10

作者：

Shaabani, M. Haji ^{[1
]}

Robati, B. Khani ^{[1
]}

机构：

[1] Shiraz Univ, Coll Sci, Dept Math, Shiraz 71454, Iran

来源：

ABSTRACT AND APPLIED ANALYSIS | 2009年

关键词：

FRACTIONAL COMPOSITION OPERATORS; BERGMAN SPACES;

D O I：

10.1155/2009/720217

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a representation for the norm of certain compact weighted composition operator C-psi,C-phi on the Hardy space H-2, whenever phi (z) = az + b and psi(z) = az - b. We also estimate the norm and essential norm of a class of noncompact weighted composition operators under certain conditions on phi and psi. Moreover, we characterize the norm and essential norm of such operators in a special case. Copyright (c) 2009 M. Haji Shaabani and B. Khani Robati.

引用

页数：13

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