| Bloch空间上紧的乘积算子 |
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| 引用本文： | 叶善力,高进寿. Bloch空间上紧的乘积算子[J]. 数学杂志, 2004, 24(6): 591-594 |
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| 作者姓名： | 叶善力 高进寿 |
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| 作者单位： | 福建师范大学数学系,福建,福州,350007 |
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| 基金项目： | theFoundationofFujianEducationalCommittee(JA0 2 1 67) |
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| 摘 要： | 本文研究了Bloch函数空间上紧乘积算子，引入了消失α-Caleson测度，利用它给出Bloch空间和小Bloch空间上的乘积算子Mφf=φf紧性的一个充分条件。
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| 关 键 词： | 乘积算子 Carleson测度 Bloch空间 |
COMPACT MULTIPLICATION OPERATORS ON THE BLOCH SPACE |
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| Abstract. COMPACT MULTIPLICATION OPERATORS ON THE BLOCH SPACE[J]. Journal of Mathematics, 2004, 24(6): 591-594 |
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| Authors: | Abstract |
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| Abstract: | In this paper we study multiplication operators on the Bloch space.We introduce the vanishing α-Carlson measure and use it to give a sufficient condition for the multiplication operator Mφf=φf on the Bloch space β and on the little Bloch space β0 to be compact. |
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| Keywords: | multiplication operator Carleson measure Bloch space |
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