Weighted composition operators between Bergman and Bloch spaces
Commun. Korean Math. Soc. 2007 Vol. 22, No. 3, 373-382
Printed September 1, 2007
Ajay K. Sharma, Rekha Kumari
Shri Mata Vaishno Devi University, University of Jammu
Abstract : In this paper, we characterize the boundedness and compactness of weighted composition operators $\psi C_{\varphi}f = \psi ( f \circ \varphi)$ acting between Bergman and Bloch spaces of holomorphic functions on the open unit disk $\mathbb D.$
Keywords : Bergman spaces, Bloch spaces, little Bloch spaces, weighted composition operator
MSC numbers : Primary 47B33, 31C05, 46E10; Secondary 30D55
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