Volterra-Type Integration Operators Between Weighted Bergman Spaces and Hardy Spaces

被引：0

作者：

Duan, Yongjiang ^{[1
]}

Wang, Siyu ^{[1
]}

Wang, Zipeng ^{[2
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2023年 / 23卷 / 04期

关键词：

Volterra-type integration operators; D weights; Bergman spaces; Hardy spaces; 47B38; 45P05; 30H10; 30H20; ANALYTIC-FUNCTIONS;

D O I：

10.1007/s40315-022-00474-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given an analytic function g and a D weight omega on the unit disk D ={z is an element of C:vertical bar z vertical bar < 1}, we characterize the boundedness and compactness of the Volterra-type integration operator J(g)(f)(z)=integral(z)(0) f(lambda) g'(lambda) d lambda between the weighted Bergman spaces L-alpha(p)(omega) and the Hardy spaces H-q for 0 < p,q < infinity.

引用

页码：589 / 627

页数：39

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