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A note on weighted composition operators on the weighted Bergman space |
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| Authors: | Lian Kuo Zhao Sheng Zhao Hou |
| Affiliation: | 1. School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, P. R. China;2. School of Mathematics Science, Soochow University, Suzhou 215000, P. R. China |
| Abstract: | This paper gives a note on weighted composition operators on the weighted Bergman space, which shows that for a fixed composition symbol, the weighted composition operators are bounded on the weighted Bergman space only with bounded weighted symbols if and only if the composition symbol is a finite Blaschke product. |
| Keywords: | Weighted Bergman space weighted composition operator boundedness finite Blaschke product |
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