Year: 2021
Type: preprint
Abstract: In this paper, we obtain a complete characterization for the compact difference of two composition operators acting on Bergman spaces with weight $ω=e^{-η}$, $Δη>0$ in terms of the $η$-derived pseudodistance of two analytic self maps. In addition, we provide simple inducing maps which support our main result. We also study the topological path component of the space of all bounded composition operators on $A^2(ω)$ endowed with the Hilbert-Schmidt norm topology.
Source: arXiv (Cornell University)
Author: Park, Inyoung
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G7186075283
OpenAlex ID: W4225864265