Lp regularity of the Bergman projection on domains covered by the polydisc

被引：19

作者：

Chen, Liwei ^{[1
]}

Krantz, Steven G. ^{[2
]}

Yuan, Yuan ^{[3
]}

机构：

[1] Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA

[2] Washington Univ, Dept Math & Stat, St Louis, MO 63130 USA

[3] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2020年 / 279卷 / 02期

基金：

美国国家科学基金会;

关键词：

Bergman projection; Symmetrized bidisc; FRIEDRICHS OPERATOR; SZEGO PROJECTIONS; KERNEL; GEOMETRY; SPACES;

D O I：

10.1016/j.jfa.2020.108522

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If a bounded domain can be covered by the polydisc through a rational proper holomorphic map, then the Bergman projection is L-p-bounded for pin a non trivial interval depending on the ramified rational covering. This result can be applied to the symmetrized polydisc and to the Hartogs triangle with exponent gamma. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：20

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