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# Composition Operators Induced by Analytic Maps to the Polydisk

Published:2011-11-03
Printed: Dec 2012
• Kei Ji Izuchi,
Department of Mathematics, Niigata University, Niigata 950-2181, Japan
• Quang Dieu Nguyen,
Department of Mathematics, Hanoi University of Education (Dai Hoc Pham Hanoi), Hanoi, Vietnam
• Shûichi Ohno,
Nippon Institute of Technology, Miyashiro, Minami-Saitama 345-8501, Japan
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## Abstract

We study properties of composition operators induced by symbols acting from the unit disk to the polydisk. This result will be involved in the investigation of weighted composition operators on the Hardy space on the unit disk and moreover be concerned with composition operators acting from the Bergman space to the Hardy space on the unit disk.
 Keywords: composition operators, Hardy spaces, polydisk
 MSC Classifications: 47B33 - Composition operators 32A35 - $H^p$-spaces, Nevanlinna spaces [See also 32M15, 42B30, 43A85, 46J15] 30H10 - Hardy spaces

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