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Weighted Composition Operators ofC0(X)'s

✍ Scribed by Jyh-Shyang Jeang; Ngai-Ching Wong

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
171 KB
Volume
201
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper, we prove that into isometries and disjointness preserving linear Ε½ . Ε½ . maps from C X into C Y are essentially weighted composition operators 0 0

Tf s h ΠΈ f ( for some continuous map and some continuous scalar-valued function h.

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Let , be analytic functions defined on ‫,ބ‬ such that ‫ބ‬ : ‫.ބ‬ The operator Ε½ . given by f Β¬ f ( is called a weighted composition operator. In this paper we deal with the boundedness, compactness, weak compactness, and complete continu-Ε½ . ity of weighted composition operators on Hardy spaces H 1