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.

引用

页数：33

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