Essential Norms and Schatten(-Herz) Classes of Integration Operators from Bergman Spaces to Hardy Spaces

被引：9
|
作者：
Chen, Jiale [1 ]
Pau, Jordi [2 ]
Wang, Maofa [1 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[2] Univ Barcelona, Dept Matemat & Informat, Barcelona 08007, Catalonia, Spain
来源：
RESULTS IN MATHEMATICS | 2021年 / 76卷 / 02期
关键词：
Integration operator; Hardy space; Bergman space; compactness; essential norm; Schatten-Herz class;
D O I：
10.1007/s00025-021-01403-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we completely characterize the compactness of the Volterra type integration operators J(b) acting from weighted Bergman spaces A(alpha)(p) a to Hardy spaces H-q for all 0 < p, q < infinity. Furthermore, we give some estimates for the essential norms of J(b) : A(alpha)(p) -> H-q in the case 0 < p <= q < infinity. We finally describe the membership in the Schatten(Herz) class of the Volterra type integration operators.
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页数：33
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