Carleson Embeddings and Two Operators on Bergman Spaces of Tube Domains over Symmetric Cones

被引：10

作者：

Nana, Cyrille ^{[1
]}

Sehba, Benoit Florent ^{[2
]}

机构：

[1] Univ Buea, Dept Math, Fac Sci, Buea, Cameroon

[2] Univ Ghana, Dept Math, Legon, Accra, Ghana

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2015年 / 83卷 / 02期

关键词：

Bergman space; Besov space; Cesaro-type operator; Toeplitz operator; Schatten class; symmetric cone; INTEGRATION OPERATORS; TOEPLITZ-OPERATORS; BLOCH; INEQUALITIES; PROJECTIONS;

D O I：

10.1007/s00020-014-2210-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove Carleson embeddings for Bergman spaces of tube domains over symmetric cones, we apply them to characterize symbols of bounded CesA ro-type operators from weighted Bergman spaces to weighted Besov spaces. We also obtain Schatten class criteria of Toeplitz operators and CesA ro-type operators on weighted Hilbert-Bergman spaces.

引用

页码：151 / 178

页数：28

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