Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2015; 52(5): 1711-1719

Printed September 30, 2015

https://doi.org/10.4134/BKMS.2015.52.5.1711

Copyright © The Korean Mathematical Society.

A note of weighted composition operators on Bloch-type spaces

Songxiao Li and Jizhen Zhou

Macau University of Science and Technology, Anhui University of Science and Technology

Abstract

We obtain a new criterion for the boundedness and compactness of the weighted composition operators $\psi C_\varphi$ from $\B^\alpha(0<\alpha<1)$ to $\B^\beta$ in terms of the sequence $\{\psi\varphi^n\}$. An estimate for the essential norm of $\psi C_\varphi$ is also given.

Keywords: weighted composition operator, Bloch-type space, essential norm

MSC numbers: 47B33, 30H30