Solutions of Second Order Complex Differential Equation Having Certain Pre-given Zeros

被引：3
|
作者：
Ye, Fangqin [1 ]
机构：
[1] Shantou Univ, Business Sch, Shantou 515063, Guangdong, Peoples R China
来源：
COMPUTATIONAL METHODS AND FUNCTION THEORY | 2021年 / 21卷 / 01期
关键词：
Blaschke sequence; Complex differential equation; Prescribed zero sequence; INVARIANT; INTERPOLATION; MULTIPLIERS;
D O I：
10.1007/s40315-020-00318-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For 0 < s < 1, let . D be a separated sequence such that zn. (1-|zn|)sdzn is an s-Carleson measure. In this paper, we show that there exist certain analytic functions A such that the second order complex differential equation f + Af = 0 admits a non-trivial solution f whose zero-sequence is , where the solution f belongs to some Mobius invariant function spaces. We strengthen a previous result from the literature.
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页码：95 / 107
页数：13
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