Hankel Operators Between Fock Spaces

被引：28

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

页数：20

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