Lp regularity of the Bergman projection on the symmetrized polydisc

被引：1

作者：

Huo, Zhenghui ^{[1
]}

Wick, Brett D. ^{[2
]}

机构：

[1] Duke Kunshan Univ, Zu Chongzhi Ctr Math & Computat Sci, Kunshan, Jiangsu, Peoples R China

[2] Washington Univ St Louis, Dept Math, St Louis, MO USA

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2024年

基金：

美国国家科学基金会;

关键词：

Bergman projection; Bergman kernel; symmetrized polydisc; SZEGO PROJECTIONS; DOMAINS; MAPPINGS; KERNELS;

D O I：

10.4153/S0008414X24000634

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the L-p regularity of the Bergman projection P over the symmetrized polydisc in Cn. We give a decomposition of the Bergman projection on the polydisc and obtain an operator equivalent to the Bergman projection over antisymmetric function spaces. Using it, we obtain the Lp irregularity of P for p=2n/n-1 which also implies that P is L-p bounded if and only if p is an element of(2n/n+1, 2n/ n-1).

引用

页数：26

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