Generalized composition operators from \(\mathcal{B}_\mu\) spaces to \(Q_{K, \omega}(p, q)\) spaces
type: Item
instance of: scholarly article
title: Generalized composition operators from \(\mathcal{B}_\mu\) spaces to \(Q_{K, \omega}(p, q)\) spaces
zbMATH Open document ID: 1473.47008
DOI: 10.1155/2014/897389
author: Tianshui Ma
author: Haiying Li
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Let \(0<p<\infty\), let \(-2 < q < \infty\), and let \(\varphi\) be an analytic self-map of \(\mathbb D\) and \(g \in H(\mathbb D)\). The boundedness and compactness of generalized composition operators \((C^g_{\varphi}f)(z)=\int^z_0 f'(\varphi(\xi))g(\xi)\,d\xi\), \(z \in \mathbb D\), \(f \in H(\mathbb D)\), from \(\mathcal B_{\mu}(\mathcal B_{\mu,0})\) spaces to \(Q_{K,\omega} (p, q)\) spaces are investigated.
Mathematics Subject Classification ID: 47B33
Mathematics Subject Classification ID: 30H10
zbMATH DE Number: 7023270
zbMATH Keywords: boundedness
zbMATH Keywords: compactness
zbMATH Keywords: generalized composition operators
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/897389
OpenAlex ID: W1513519530
Wikidata QID: Q59042705
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description: scientific article; zbMATH DE number 7023270