Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2005; 20(1): 63-70

Printed March 1, 2005

Copyright © The Korean Mathematical Society.

Weighted composition operators from bergman spaces into weighted bloch spaces

Songxiao Li

JiaYing University

Abstract

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In this paper we study bounded and compact weighted composition operator, induced by a fixed analytic function and an analytic self-map of the open unit disk, from Bergman space into weighted Bloch space. As a corollary, obtain the characterization of composition operator from Bergman space into weighted Bloch space.

Keywords: weighted composition operator, Bergman space, weighted Bloch space

MSC numbers: Primary 47B35; Secondary 30H05

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