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 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.2015.52.5.1711Printed 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 Downloads: Full-text PDF