Lp MAPPING PROPERTIES OF THE BERGMAN PROJECTION ON THE HARTOGS TRIANGLE

被引：56
作者：
Chakrabarti, Debraj [1 ]
Zeytuncu, Yunus E. [2 ]
机构：
[1] Cent Michigan Univ, Dept Math, Mt Pleasant, MI 48859 USA
[2] Univ Michigan, Dept Math & Stat, Dearborn, MI 48128 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 04期
关键词：
Bergman projection; Hartogs triangle; L-p regularity; DOMAINS; IRREGULARITY;
D O I：
10.1090/proc/12820
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove optimal estimates for the mapping properties of the Bergman projection on the Hartogs triangle in weighted L-p spaces when p > 4/3, where the weight is a power of the distance to the singular boundary point. For 1 < p <= 4/3 we show that no such weighted estimates are possible.
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页码：1643 / 1653
页数：11
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