Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2014; 51(4): 1005-1013

Printed July 31, 2014

https://doi.org/10.4134/BKMS.2014.51.4.1005

Copyright © The Korean Mathematical Society.

Bounded composition operators from the Bergman space to the Hardy space

Kazuhiro Kasuga and Takahiko Nakazi

Kogakuin University, Hokusei Gakuen University

Abstract

Let $\phi$ be an analytic self map of the open unit disc $D$. In this paper, we study the composition operator $C_\phi$ from the Bergman space on $D$ to the Hardy space on $D$.

Keywords: Bergman space, Hardy space, isometry, bounded composition, Nevanlinna counting function

MSC numbers: 47B33