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A NOTE OF WEIGHTED COMPOSITION OPERATORS ON BLOCH-TYPE SPACES

  • LI, SONGXIAO ;
  • ZHOU, JIZHEN
  • Received : 2014.11.19
  • Published : 2015.09.30

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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Acknowledgement

Supported by : Macao Science and Technology Development Fund