Compact composition operators between Bloch type spaces in the polydisk
type: Item
instance of: scholarly article
title: Compact composition operators between Bloch type spaces in the polydisk
zbMATH Open document ID: 1254.32010
DOI: 10.1155/2012/732709
author: Zhong-Shan Fang
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: \textit{H. Wulan, D. Zheng} and \textit{K. Zhu} [Proc. Am. Math. Soc. 137, No. 11, 3861--3868 (2009; Zbl 1194.47038)] characterized the compactness of composition operators on the Bloch space in the unit disk by the \(n\)th power of the induced analytic function. This paper will generalize the result to the Bloch type space in the polydisk.
Mathematics Subject Classification ID: 32A37
zbMATH DE Number: 6116441
zbMATH Keywords: Bloch type space in the polydisc
zbMATH Keywords: composition operators
Wikidata QID: Q58696686
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/732709
OpenAlex ID: W1972947491
cites work: Q4888816
cites work: Composition operators and classical function theory
cites work: Q3999007
cites work: Compact Composition Operators on the Bloch Space
cites work: The essential norm of a composition operator
cites work: Weighted composition operators between Bloch-type spaces in the polydisc
cites work: Essential norms of composition operators between Bloch type spaces
cites work: The essential norms of composition operators between generalized Bloch spaces in the polydisc and their applications
cites work: Compact composition operators on the Bloch space in polydiscs
cites work: Compact composition operators on BMOA and the Bloch space
Recommended article: Composition operators between Bloch-type spaces in the polydisc
Recommended article: Compact composition operators on the Bloch space in polydiscs
Recommended article: Compact composition operators on Bloch type spaces
Recommended article: Q3572695
Recommended article: Composition operators on the bloch space in polydiscs
Recommended article: Composition operators between Bloch and BMOA spaces on polydisks
Recommended article: Q5433934
Recommended article: Essential norms of composition operators between Bloch type spaces in the polydisk
Recommended article: Weighted composition operators between Bloch-type spaces in the polydisc
Recommended article: Composition operators between Bloch type spaces in the unit ball
description: scientific article; zbMATH DE number 6116441