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http://dx.doi.org/10.4134/BKMS.2015.52.5.1711

A NOTE OF WEIGHTED COMPOSITION OPERATORS ON BLOCH-TYPE SPACES  

LI, SONGXIAO (INSTITUTE OF SYSTEM ENGINEERING MACAU UNIVERSITY OF SCIENCE AND TECHNOLOGY)
ZHOU, JIZHEN (SCHOOL OF SCIENCE ANHUI UNIVERSITY OF SCIENCE AND TECHNOLOGY)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.5, 2015 , pp. 1711-1719 More about this Journal
Abstract
We obtain a new criterion for the boundedness and compactness of the weighted composition operators ${\psi}C_{\varphi}$ from ${\ss}^{{\alpha}}$(0 < ${\alpha}$ < 1) to ${\ss}^{{\beta}}$ 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;
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