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.
Songxiao Li and Jizhen Zhou
Macau University of Science and Technology, Anhui University of Science and Technology
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
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