Hankel Operators with Positive Operator-valued Symbols on Vector-valued Generalized Segal-Bargmann Spaces
Hankel Operators with Positive Operator-valued Symbols on Vector-valued Generalized Segal-Bargmann Spaces
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DOI：
10.11845/sxjz.2020192b
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Xu Guangxia
中科院分区：
文献类型：
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作者：
Chen Jianjun;Xu Guangxia
In this paper we mainly consider the boundedness and compactness of Hankel operators with positive operator-valued functions as symbols on vector-valued generalized Segal-Bargmann space $F_varphi ^2left( mathcal{H} right)$.Main results are obtained in terms of bounded and vanishing mean oscillation operators.We also give geometric descriptions for the spaces ${rm{BMO}}_varphi ^2$ and ${rm{VMO}}_varphi ^2$ which are defined in views of the Berezin transform.
