Weakly compact composition operators on VMO.
type: Item
instance of: scholarly article
title: Weakly compact composition operators on VMO.
zbMATH Open document ID: 1048.47015
author: Joseph A. Cima
author: Alec L. Matheson
published in: Rocky Mountain Journal of Mathematics
publication date: 2003-12-03T00:00:00Z
full work available at URL: CONT32-3.html
review text: The paper gives several necesssary and/or sufficient conditions for an analytic composition operator \(C_\varphi\) to be weakly compact on VMOA of the unit disk.
Mathematics Subject Classification ID: 47B33
Mathematics Subject Classification ID: 30D45
Mathematics Subject Classification ID: 30D50
Mathematics Subject Classification ID: 47B07
zbMATH DE Number: 2012040
zbMATH Keywords: composition operator
zbMATH Keywords: VMOA
zbMATH Keywords: weakly compact operator
reviewed by: Kehe Zhu
MaRDI profile type: Publication
OpenAlex ID: W2029586176
cites work: Q3681112
cites work: Bounded functions in the little Bloch space
cites work: Compact Composition Operators on BMOA
cites work: Q5336643
cites work: Q3922907
cites work: Interpolating Blaschke products generate \(H^ \infty\)
cites work: Q5727906
cites work: Ratios of interpolating Blaschke products
cites work: Compact Composition Operators on the Bloch Space
cites work: Interpolating Blaschke products
cites work: Q4182986
cites work: Cluster set, essential range and distance estimates in BMO
cites work: Composition operators and classical function theory
cites work: Inner functions in the hyperbolic little Bloch class
cites work: A Geometric Characterization of Analytic Functions with Bounded Mean Oscillation
cites work: Weak Subordination and Stable Classes of Meromorphic Functions
cites work: Q3995204
cites work: On multipliers preserving convergence of trigonometric series almost everywhere
DOI: 10.1216/RMJM/1034968424
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description: scientific article; zbMATH DE number 2012040