Weighted composition operators between different Fock spaces

2017/04/12 by Tien, Pham Trong, Khoi, Le Hai
#30D15 #47B33 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1704.03752

Abstract

We study weighted composition operators acting between Fock spaces. The following results are obtained: (1) Criteria for the boundedness and compactness; (2) Characterizations of compact differences and essential norm; (3) Complete descriptions of path connected components and isolated points of the space of composition operators and the space of nonzero weighted composition operators.

Related

• Weighted composition operators between Fock spaces in several variables
• Differences of weighted composition operators between the Fock spaces
• Weighted composition operators on the Fock space
• Topological structure of the space of (weighted) composition operators between Fock spaces in several variables
• Weighted composition operators on weighted Fock spaces