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.

引用

页码：95 / 107

页数：13

共 37 条

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