Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2007; 44(3): 475-482

Printed September 1, 2007

Copyright © The Korean Mathematical Society.

Composition operators between Hardy and Bloch-type spaces of the upper half-plane

S. D. Sharma, Ajay K. Sharma, and Shabir Ahmed

University of Jammu, Shri Mata Vashino Devi University, University of Jammu

Abstract

In this paper, we study composition operators $C_{\varphi}f = f \circ \varphi,$ induced by a fixed analytic self-map of the of the upper half-plane, acting between Hardy and Bloch-type spaces of the upper half-plane.

Keywords: composition operator, Bloch-type spaces, Hardy spaces

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