A note of weighted composition operators on Bloch-type spaces
Bull. Korean Math. Soc. 2015 Vol. 52, No. 5, 1711-1719
https://doi.org/10.4134/BKMS.2015.52.5.1711
Printed September 30, 2015
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
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