A NOTE OF WEIGHTED COMPOSITION OPERATORS ON BLOCH-TYPE SPACES

Title & Authors
A NOTE OF WEIGHTED COMPOSITION OPERATORS ON BLOCH-TYPE SPACES
LI, SONGXIAO; ZHOU, JIZHEN;

Abstract
We obtain a new criterion for the boundedness and compactness of the weighted composition operators $\small{{\psi}C_{\varphi}}$ from $\small{{\ss}^{{\alpha}}}$(0 < $\small{{\alpha}}$ < 1) to $\small{{\ss}^{{\beta}}}$ in terms of the sequence $\small{\{{\psi}{\varphi}^n\}}$. An estimate for the essential norm of $\small{{\psi}C_{\varphi}}$ is also given.
Keywords
weighted composition operator;Bloch-type space;essential norm;
Language
English
Cited by
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