Some characterizations for composition operators on the Fock spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:455

Article

Jiang, Liangying¹  Prajitura, Gabriel T.²  Zhao, Ruhan² 

[1] Shanghai Lixin Univ Accounting & Finance, Dept Stat & Math, Shanghai 201209, Peoples R China

[2] SUNY Coll Brockport, Dept Math, Brockport, NY 14420 USA

关键词: Composition operators;    Fock space;    Essential norm;    Spectrum;    Normal;    Cyclic;   

DOI  :  10.1016/j.jmaa.2017.06.023

来源: Elsevier

【 摘 要 】

We study composition operators on the Fock spaces F-alpha(2)(C-n) for alpha > 0, problems considered including the essential norm, normality, spectra, cyclicity and membership in the Schatten classes. We give perfect characterizations for these basic properties, which are different with those composition operators on the Hardy space and the weighted Bergman spaces. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free