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Solutions of second order complex differential equation having certain pre-given zeros (汕头大学叶芳琴博士 No.356)

发布日期:2020-09-02    作者:         点击:
报告人:叶芳琴博士 (汕头大学)

报告时间:2020年9月2日(周三)上午10:00-10:30

线上报告:腾讯会议 会议ID: 474 326 412

报告摘要:For $0<1 $, let $\lambda\subset \mathbb{d}$ be a separated sequence such that $\sum_{z_n\in \lambda}(1-|z_n|)^s \delta_{z_n}$ is an $s$-carleson measure.  in this talk, we show that there exist certain  analytic functions $a$ such that the second order complex differential equation $f''+af="0$" admits a nontrivial solution $f$ whose zero-sequence is $\lambda$,  where  the solution $f$  belongs to some mobius invariant function spaces. we strengthen a result in the literature before.

 

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