Stability of admissible functions
type: Item
instance of: scholarly article
title: Stability of admissible functions
zbMATH Open document ID: 1225.30011
DOI: 10.1155/2011/342895
author: Ibrahim W. Rabha
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2011-10-26T00:00:00Z
review text: Summary: Using the concept of weak subordination we examine stability for a class of admissible functions in complex Banach spaces. (A class of analytic functions in the unit disk is said to be stable if it is closed under weak subordination.) Following classes are discussed: the Bloch class, the little Bloch class, the hyperbolic little Bloch class, the extended Bloch class (\(Q_p\)), and the Hilbert Hardy class (\(H^2\)).
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30H30
zbMATH DE Number: 5964011
Wikidata QID: Q58687758
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/342895
OpenAlex ID: W2144639440
cites work: Q5527882
cites work: Q4043323
cites work: Q3963324
cites work: Inner functions in the hyperbolic little Bloch class
cites work: What do composition operators know about inner functions?
cites work: Essential norms of composition operators and Aleksandrov measures
cites work: Q4649265
cites work: Q4402890
cites work: Q5687148
cites work: The essential norm of a composition operator
cites work: Q4308185
cites work: Analytic functions of bounded mean oscillation
cites work: Inner functions as improving multipliers
description: scientific article; zbMATH DE number 5964011