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.

引用

页码：271 / 281

页数：11

共 14 条

[11] CURVATURES AND SIMILARITY OF OPERATORS WITH HOLOMORPHIC EIGENVECTORS
UCHIYAMA, M
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 319 (01) : 405 - 415
[12] HANKEL-OPERATORS BETWEEN WEIGHTED BERGMAN SPACES IN THE BALL
WALLSTEN, R
[J]. ARKIV FOR MATEMATIK, 1990, 28 (01): : 183 - 192
[13] HILBERT-SCHMIDT HANKEL-OPERATORS ON THE BERGMAN SPACE
ZHU, K
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 109 (03) : 721 - 730
[14] ZHU K. H., 2012, GTM, V263

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