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

被引：19

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.

引用

页码：1573 / 1582

页数：10

共 16 条

[1]

Boas Harold P, 1991, MATH Z, V206, P81

[2] EQUIVALENCE OF REGULARITY FOR THE BERGMAN PROJECTION AND THE DELTABAR-NEUMANN OPERATOR [J].