ON THE NORM OF HANKEL OPERATOR RESTRICTED TO FOCK SPACE

被引：0
作者：
Li, Yucheng [1 ]
Li, Yameng [1 ]
机构：
[1] Hebei Normal Univ, Dept Math, Shijiazhuang 050024, Hebei, Peoples R China
来源：
OPERATORS AND MATRICES | 2020年 / 14卷 / 01期
关键词：
Fock space; Hankel operator; norm; quasi-affinity; BERGMAN SPACE;
D O I：
10.7153/oam-2020-14-21
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we characterize the norm of Hankel operator H-(z) over bar. Then we find the formula of the norm of H-(z) over barn (g) and give an upper bound of the norm of H-n on Fock space. Lastly, we prove the concomitant operator P-n of H-(z) over barn is quasi-affine to the direct sum of n copies of the concomitant operator P-1 of H-(z) over bar.
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页码：271 / 281
页数：11
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