| Bloch空间上的广义Cesaro算子的本性模 |
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| 引用本文： | 孟一梅.Bloch空间上的广义Cesaro算子的本性模[J].湖州师专学报,2011(2):17-20. |
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| 作者姓名： | 孟一梅 |
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| 作者单位： | 杭州电子科技大学理学院,浙江杭州310018 |
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| 基金项目： | Foundation items：The research is supported by the National Natural Science Foundation of China （10771064） and Natural Science Foundation of Zhejiang Province （Y7080197, Y6090036,Y6100219）. |
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| 摘 要： | H（B）是单位球B上的全纯函数的全体,对g∈H（B）,讨论了Bloch空间上的广义Cesàro算子Tg的本性模估计.利用上极限,给出了‖Tg‖e,B→B的表示.此处‖Tg‖e,B→B表示Bloch空间上的广义Cesàro算子的本性模.
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| 关 键 词： | Bloch空间 广义Cesaro算子 本性模 |
Extended Cesaro Operators on the Bloch Space |
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| Authors: | MENG Yi-Mei |
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| Affiliation: | MENG Yi-Mei(School of Science,Hangzhou Electronic University of Science and Technology,Hangzhou 310018,China) |
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| Abstract: | The title of this paper is the estimate of the essential norm of the extended Cesàro operators Tg on the Bloch spaces,where g is a given holomorphic function on the unit ball B.The essential norm of Tg as an operator on the Bloch spaces is denoted by ‖Tg ‖e,B→B.We express ‖Tg ‖e,B→B in terms of an asymptotic upper bound of a quantity. |
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| Keywords: | the Bloeh space extended Cesaro operators essential norm |
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