Inyoung Park
Published 2021-12-24, updated 2022-07-27Version 2
In this paper, we obtain a complete characterization for the compact difference of two composition operators acting on Bergman spaces with weight $\omega=e^{-\eta}$, $\Delta\eta>0$ using the $\eta$-derived pseudodistance of two analytic self maps. In addition, we provide an example that supports our main result. We also study the topological structure of the space of all bounded composition operators on $A^2(\omega)$ endowed with topology which is induced by the Hilbert-Schmidt norm.
$p$-Summable commutators in Bergman spaces on egg domains
Real-variable characterizations of Bergman spaces
Tent spaces and Littlewood-Paley $g$-functions associated with Bergman spaces in the unit ball of $\mathbb{C}^n$
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