Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2006; 21(4): 719-727

Printed December 1, 2006

Copyright © The Korean Mathematical Society.

Weighted composition operators between $H^\infty$ and bergman type spaces

Xiangling Zhu

Shantou University

Abstract

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In this paper, we study the boundedness and the compactness of weighted composition operator between $H^\infty$ and Berg\-man type space on the unit ball of $\mathbb{C}^n$. Also, the norm of corresponding weighted composition operator is computed.

Keywords: weighted composition operator, Bergman type space, bounded holomorphic function space

MSC numbers: Primary 47B33, Secondary 32A38

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