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Some Characterizations for Composition Operators on the Fock Space

Complex Variables 2016-08-23 v1

Abstract

We study composition operators on the Fock spaces Fα2(Cn)\mathcal{F}^2_\alpha(\mathbb{C}^n), problems considered include the essential norm, normality, spectra, cyclicity and membership in the Schatten classes. We give perfect answers for these basic properties, which present lots of different characterizations with the composition operators on the Hardy space or the weighted Bergman spaces.

Keywords

Cite

@article{arxiv.1608.05955,
  title  = {Some Characterizations for Composition Operators on the Fock Space},
  author = {Liangying Jiang and Gabriel T. Prajitura and Ruhan Zhao},
  journal= {arXiv preprint arXiv:1608.05955},
  year   = {2016}
}

Comments

16 pages

R2 v1 2026-06-22T15:25:34.639Z