Some Characterizations for Composition Operators on the Fock Space

2016/08/21 by Jiang, Liangying, Prajitura, Gabriel T., Zhao, Ruhan
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1608.05955

Abstract

We study composition operators on the Fock spaces F²_α(ℂⁿ), 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.

Related

• Weighted composition operators between Fock spaces in several variables
• Weighted composition operators on the Fock space
• Weighted composition operators between different Fock spaces
• Topological structure of the space of (weighted) composition operators between Fock spaces in several variables
• Weighted Composition Operator on Fock Space