| Composition Operators from Hardy-Orlicz Spaces to Bloch-Orlicz Type Spaces |
| Received:September 28, 2017 Revised:June 16, 2018 |
| Key Words:
composition operator Hardy-Orlicz space Bloch-Orlicz space
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11501130), the Natural Science Foundation of Guangdong Province (Grant No.2017A030310636) and the Science and Technology Project of Guangzhou City (Grant No.201707010126). |
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| Abstract: |
| Let $\varphi$ be an analytic self-map of $\mathbb{D}$. The composition operator $C_{\varphi}$ is the operator defined on $H(\mathbb{D})$ by $C_{\varphi}(f)=f\circ\varphi$. In this paper, we investigate the boundedness and compactness of the composition operator $C_{\varphi}$ from Hardy-Orlicz spaces to Bloch-Orlicz type spaces. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2018.05.003 |
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