Carleson Measures and Toeplitz Operators for Weighted Bergman Spaces on the Unit Ball

被引：33

作者：

Pau, Jordi ^{[1
]}

Zhao, Ruhan ^{[2
]}

机构：

[1] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08007 Barcelona, Spain

[2] SUNY Coll Brockport, Dept Math, Brockport, NY 14420 USA

来源：

MICHIGAN MATHEMATICAL JOURNAL | 2015年 / 64卷 / 04期

关键词：

INTEGRATION OPERATORS; MEASURE THEOREM; CRITERIA;

D O I：

10.1307/mmj/1447878031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain some new characterizations on Carleson measures for weighted Bergman spaces on the unit ball involving product of functions. For these, we characterize bounded and compact Toeplitz operators between weighted Bergman spaces. The results are applied to characterize bounded and compact extended Cesaro operators and pointwise multiplication operators. The results are new even in the case of the unit disk.

引用

页码：759 / 796

页数：38

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