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.
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页码：589 / 627
页数：39
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