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
收藏
页码：91 / 103
页数：13
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