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.

引用

页码：1643 / 1653

页数：11

共 19 条

[1]

[Anonymous], 2008, GRADUATE TEXTS MATH, DOI DOI 10.1007/978-0-387-09432-8_1

[2] Irregularity of the Bergman Projection on Worm Domains in Cn [J].