Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2006; 21(3): 465-474

Printed September 1, 2006

Copyright © The Korean Mathematical Society.

Weighted composition operators between Bergman-type spaces

Ajay K. Sharma, Som Datt Sharma

University of Jammu

Abstract

In this paper, we characterize the boundedness and compactness of weighted composition operators $\psi C_{\varphi}f = \psi fo\varphi$ acting between Bergman-type spaces.

Keywords: weighted Bergman spaces, growth spaces, weighted composition operator, composition operator, multiplication operator

MSC numbers: Primary 47B33, 46E10; Secondary 30D55.