Area Operators on Bergman Spaces

被引：0

作者：

Xiao Fen LV ^{[1
]}

Jordi PAU ^{[2
]}

Mao Fa WANG ^{[3
]}

机构：

[1] Department of Mathematics, Huzhou University

[2] Departament de Matemàtiques i Informàtica, Universitat de Barcelona

[3] School of Mathematics and Statistics, Wuhan University

来源：

Acta Mathematica Sinica,English Series | 2024年 / 05期

关键词：

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

We completely characterize the boundedness of area operators from the Bergman spaces A_αP(Bn) to the Lebesgue spaces Lq(Sn) for all 0 <p,q <∞.For the case n=1,some partial results were previously obtained by Wu in [Wu,Z.:Volt err a operator,area integral and Carleson measures,Sci.China Math.,54,2487-2500(2011)].Especially,in the case q <p and q <s,we obtain some characterizations for the area operators to be bounded.We solve the cases left open there and extend the results to n-complex dimension.

引用

页码：1161 / 1176

页数：16

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