Weighted differentiation composition operator from logarithmic Bloch spaces to Zygmund-type spaces
type: Item
instance of: scholarly article
title: Weighted differentiation composition operator from logarithmic Bloch spaces to Zygmund-type spaces
zbMATH Open document ID: 1473.47009
DOI: 10.1155/2014/832713
author: Huiying Qu
author: Yongmin Liu
author: Shulei Cheng
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Let \(H(\mathbb{D})\) denote the space of all holomorphic functions on the unit disk \(\mathbb{D}\) of \(\mathbb C\), \(u \in H(\mathbb{D})\) and let \(n\) be a positive integer, \(\varphi\) a holomorphic self-map of \(\mathbb{D}\), and \(\mu\) a weight. In this paper, we investigate the boundedness and compactness of a weighted differentiation composition operator \(\mathcal{D}_{\varphi, u}^n f(z) = u(z) f^{(n)}(\varphi(z))\), \(f \in H(\mathbb{D})\), from the logarithmic Bloch spaces to the Zygmund-type spaces.
Mathematics Subject Classification ID: 47B33
Mathematics Subject Classification ID: 30H30
zbMATH DE Number: 7023157
zbMATH Keywords: boundedness
zbMATH Keywords: comapctness
zbMATH Keywords: weighted differentiation composition operator
zbMATH Keywords: logarithmic Bloch spaces
zbMATH Keywords: Zygmund-type spaces
Wikidata QID: Q59041864
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/832713
OpenAlex ID: W2070249362
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description: scientific article; zbMATH DE number 7023157