Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces

Let \(u\) and \(\varphi\) be two analytic functions on the unit disk \(\mathbb{D}\) such that \(\varphi(\mathbb{D}) \subset \mathbb{D}\). A weighted composition operator \(uC_{\varphi}\) induced by \(u\) and \(\varphi\) is defined on \(H^2\), the Hardy space of \(\mathbb{D}\), by \(uC_{\varphi}f :=...

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Bibliographic Details
Main Authors: Ching-on Lo, Anthony Wai-keung Loh
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2020-07-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol40/4/art/opuscula_math_4027.pdf