THE BERGMAN PROJECTION IN Lp FOR DOMAINS WITH MINIMAL SMOOTHNESS

被引：36

作者：

Lanzani, Loredana ^{[1
]}

Stein, Elias M. ^{[2
]}

机构：

[1] Univ Arkansas, Dept Math, Fayetteville, AR 72701 USA

[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2012年 / 56卷 / 01期

基金：

美国国家科学基金会;

关键词：

PSEUDOCONVEX DOMAINS; SZEGO PROJECTIONS; KERNEL; BEHAVIOR;

D O I：

10.1215/ijm/1380287464

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let D subset of C-n be a bounded, strongly Levi-pseudoconvex domain with minimally smooth boundary. We prove L-p (D)-regularity for the Bergman projection B, and for the operator vertical bar B vertical bar whose kernel is the absolute value of the Bergman kernel with p in the range (1, +infinity). As an application, we show that the space of holomorphic functions in a neighborhood of (D) over bar is dense in theta L-p(D).

引用

页码：127 / 154

页数：28

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