SOBOLEV ESTIMATES FOR THE COMPLEX GREEN OPERATOR ON A CLASS OF WEAKLY PSEUDOCONVEX BOUNDARIES

被引：18
|
作者：
BOAS, HP
STRAUBE, EJ
机构：
[1] Department of Mathematics, Texas A&M University, College Station
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1991年 / 16卷 / 10期
基金：
美国国家科学基金会;
关键词：
TANGENTIAL CAUCHY-RIEMANN EQUATIONS; SZEGO PROJECTION; WEAKLY PSEUDOCONVEX BOUNDARIES; CONVEX DOMAINS;
D O I：
10.1080/03605309108820813
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
On the boundary of a smooth bounded convex domain in C(n) (more generally, a domain that admits a defining function that is plurisubharmonic on the boundary), the canonical (norm-minimizing) solution operator of the partial-differential-equation b-equation, the inverse of square b (the complex Green operator) and the Szego projection are continuous in Sobolev norms.
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页码：1573 / 1582
页数：10
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