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

2018/06/01 by Tien, Pham Trong, Khoi, Le Hai
#32A15 #47B33 #47B38 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.00181

Abstract

We give explicit descriptions of all path connected components and isolated points of both spaces of composition operators and nonzero weighted composition operators acting from a Fock space F^p(ℂⁿ) to another one F^q(ℂⁿ).

Related

• Weighted composition operators between different Fock spaces
• Weighted composition operators between Fock spaces in several variables
• Differences of weighted composition operators between the Fock spaces
• Some Characterizations for Composition Operators on the Fock Space
• Weighted composition operators on the Fock space