A Characterization of Random Bloch Functions

A Characterization of Random Bloch Functions
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DOI:
10.1006/jmaa.2000.7192
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发表时间:
2000-12
影响因子:
1.3
通讯作者:
Fuchang Gao
Fuchang Gao
中科院分区:
数学3区
文献类型:
--
作者:
Fuchang Gao

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本文给出了复序列{an},∑| a n| 2 ∞ n = 1 ± an z n表示几乎所有符号“±”选择的Bloch函数,回答了J.M.安德森等人(1974,J. Reine Agnew. Math.270,12-37)。
Abstract In this paper, we introduce a necessary and sufficient condition on the complex sequence { a n }, ∑| a n | 2 ∞ n = 1 ± a n z n represents a Bloch function for almost all choices of signs “ ± ,” answering a question left open by J. M. Anderson et al. (1974, J. Reine Agnew. Math. 270, 12–37).