Integrability of Mean Oscillation with Applications to Hankel Operators

被引:4
作者
Lv, Xiaofen [1 ]
Zhu, Kehe [2 ,3 ]
机构
[1] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[2] SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA
[3] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China
关键词
Bergman spaces; Hankel operators; Mean oscillation; CARLESON MEASURES; BERGMAN; SPACES; BMO;
D O I
10.1007/s00020-019-2504-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce and study a family of Banach spaces IMOps,sigma of functions on the open unit ball Bn in Cn, defined by an integrability condition of the mean oscillation in the Bergman metric. Our main results include a decomposition theorem for IMOps,sigma, a characterization of holomorphic functions in IMOps,sigma, and an application of IMOps,sigma to the boundedness and compactness of Hankel operators between weighted Bergman spaces.
引用
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页数:23
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