Hankel Operators Between Fock Spaces

Hankel Operators Between Fock Spaces
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DOI:
10.1007/s00020-018-2459-1
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发表时间:
2018-05
影响因子:
0.8
通讯作者:
Zhangjian Hu;Ermin Wang
Zhangjian Hu;Ermin Wang
中科院分区:
数学3区
文献类型:
--
作者:
Zhangjian Hu;Ermin Wang

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在本文中,我们引入了函数空间可积平均振荡(IMO)。在IMO中,对于所有可能的情况,我们描述了汉克尔算子同时从福克空间到勒贝格空间有界(或紧凑)的那些符号。结果,我们获得了 Hankel 算子有界(或紧凑)的所有全纯函数 f 。
In this paper, we introduce a function space integrable mean oscillation (IMO) on. WithIMO, for all possiblewe characterize those symbolsfonfor which the Hankel operatorsandare simultaneously bounded (or compact) from Fock spaceto Lebesgue space. As a consequence we obtain all holomorphic functionsffor which the Hankel operatorsare bounded (or compact) fromto.