Hankel Operators Between Fock Spaces

被引：23
|
作者：
Hu, Zhangjian [1 ]
Wang, Ermin [2 ]
机构：
[1] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China
[2] Lingnan Normal Univ, Sch Math & Stat, Zhanjiang 524048, Guangdong, Peoples R China
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2018年 / 90卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Fock spaces; IMO spaces; Hankel operators;
D O I：
10.1007/s00020-018-2459-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a function space integrable mean oscillation (IMO) on C-n. With IMO, for all possible 1 <= p, q < infinity we characterize those symbols f on C-n for which the Hankel operators H-f and H-f are simultaneously bounded (or compact) from Fock space Fpa to Lebesgue space L-alpha(q). As a consequence we obtain all holomorphic functions f for which the Hankel operators H-f are bounded (or compact) from F-alpha(p) to L-alpha(q).
引用
收藏
页数：20
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