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.
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页数：14
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