Solutions of linear differential equations in Bergman-Morrey type spaces

被引：0
|
作者：
Long, Jianren [1 ]
Li, Mingjin [1 ]
Sun, Xuefang [1 ]
机构：
[1] Guizhou Normal Univ, Sch Math Sci, Guiyang, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2025年
基金：
中国国家自然科学基金;
关键词：
Bergman-Morrey type space; complex linear differential equation; fractional order derivative; unit disc; GROWTH; COEFFICIENTS;
D O I：
10.1080/17476933.2025.2454678
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
On the one hand, fractional order derivative characterization for functions belonging to the Bergman-Morrey type space $ A<^>{p,K} $ Ap,K is given. On the other hand, some conditions for coefficients of the following complex linear differential equation: \[f<^>{(k)}+A_{k-1}(z)f<^>{(k-1)}+\cdots+A_0(z)f=A_k(z)\] f(k)+Ak-1(z)f(k-1)+& ctdot;+A0(z)f=Ak(z) are obtained such that all solutions of the above equations in $ A<^>{p,K} $ Ap,K.
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页数：19
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