Weighted composition operators on some weighted spaces in the unit ball
type: Item
instance of: scholarly article
title: Weighted composition operators on some weighted spaces in the unit ball
zbMATH Open document ID: 1160.47024
DOI: 10.1155/2008/605807
author: Xiaohong Fu
author: Xiangling Zhu
published in: Abstract and Applied Analysis
publication date: 2008-08-19T00:00:00Z
full work available at URL: https://eudml.org/doc/55328
review text: For a positive weight function \(\mu\) on \([0,1)\), the space \(H^\infty_\mu\) consists of analytic functions \(f\) in the unit disc \(D\) such that \[ \sup_{z\in D}\mu(| z| )| f(z)| <\infty. \] The paper studies weighted composition operators \(uC_\varphi\) on the spaces \(H^\infty_\mu\), where \(u\) is an analytic function in \(D\) and \(\varphi\) is an analytic self-map of \(D\). The main problems studied include the boundedness and compactness of these operators on various \(H^\infty_\mu\) spaces.
Mathematics Subject Classification ID: 47B33
zbMATH DE Number: 5313195
zbMATH Keywords: weighted composition operator
zbMATH Keywords: weighted spaces of analytic functions
Wikidata QID: Q58644369
reviewed by: Kehe Zhu
MaRDI profile type: Publication
OpenAlex ID: W2129931144
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description: scientific article; zbMATH DE number 5313195