A Carleson type measure and a family of Möbius invariant function spaces

被引：0
作者：
Bao, Guanlong [1 ]
Ye, Fangqin [2 ]
机构：
[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China
[2] Shantou Univ, Business Sch, Shantou 515063, Guangdong, Peoples R China
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2023年 / 34卷 / 06期
关键词：
F(p; p-2; s); space; Carleson type measure; Blaschke product; Volterra type operator; Complex differential equation; INTERPOLATION; MULTIPLIERS; OPERATORS; PRODUCTS; F(P;
D O I：
10.1016/j.indag.2023.06.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For 0 < s < 1, let {z(n)} be a sequence in the open unit disk such that & sum;(n)(1 - |z(n)|(2))(s) delta(zn) is an s-Carleson measure. In this paper, we consider the connections between this s-Carleson measure and the theory of M & ouml;bius invariant F(p, p-2, s) spaces by the Volterra type operator, the reciprocal of a Blaschke product, and second order complex differential equations having a prescribed zero sequence.(c) 2023 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：1338 / 1354
页数：17
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