THE BERGMAN PROJECTION AS A SINGULAR INTEGRAL OPERATOR

被引：1

作者：

MCNEAL, JD ^{[1
]}

机构：

[1] PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 1994年 / 4卷 / 01期

关键词：

BERGMAN PROJECTION; PSEUDOMETRIC; CALDERON-ZYGMUND OPERATOR;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Bergman projection operator, associated to one of three classes of domains (all smoothly bounded)-a finite type domain C2; a decoupled, finite type domain in C(n); or a convex, finite type domain in C(n)-may be viewed as a generalized Calderon-Zygmund operator. As an application of this observation, we show that the Bergman projector on any of these domains preserves the Lebesgue classes L(p), 1 < p < infinity.

引用

页码：91 / 103

页数：13

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