期刊文献+

The Berezin Transform and Radial Operators on the Weighted Bergman Space of the Unit Ball

单位球加权Bergman空间上的Berezin变换与径向算子(英文)
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摘要 In this paper, we analyze a class of bounded radial operators on the weighted Bergman space A2α(Bn, d Vα), we get that these kinds of operators are diagonal with respect to the standard orthonomal basis. We also investigate the connection between compactness of operators and the boundary behaviour of the corresponding Berezin transform. We further study a special class of radial operators, i.e., Toeplitz operators with a radial L1 symbol.
出处 《Chinese Quarterly Journal of Mathematics》 2015年第1期47-54,共8页 数学季刊(英文版)
关键词 weighted Bergman space Berezin transform Radial operators Toeplitz operators weighted Bergman space Berezin transform Radial operators Toeplitz oper-ators
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参考文献13

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二级参考文献14

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