# 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)
• 투고 : 2014.11.19
• 발행 : 2015.09.30

#### 초록

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.

#### 과제정보

연구 과제 주관 기관 : Macao Science and Technology Development Fund

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