Compactness of Hankel Operators with Symbols Continuous on the Closure of Pseudoconvex Domains

被引：5

作者：

Clos, Timothy G. ^{[2
]}

Celik, Mehmet ^{[3
]}

Sahutoglu, Sonmez ^{[1
,2
]}

机构：

[1] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA

[2] Univ Toledo, Dept Math & Stat, 2801 W Bancroft, Toledo, OH 43606 USA

[3] Texas A&M Univ Commerce, Dept Math, Commerce, TX 75428 USA

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2018年 / 90卷 / 06期

关键词：

Hankel operators; Convex domains; Pseudoconvex domains; BERGMAN SPACES;

D O I：

10.1007/s00020-018-2497-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let O be a bounded pseudoconvex domain in C2 with Lipschitz boundary or a bounded convex domain in Cn and f. C(O) such that the Hankel operator Hf is compact on the Bergman space A 2 (O). Then f. f is holomorphic for any holomorphic f : D b Omega.

引用

页数：14

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