Some subclasses of BMOA and their characterization in terms of Carleson measures
type: Item
instance of: scholarly article
title: Some subclasses of BMOA and their characterization in terms of Carleson measures
zbMATH Open document ID: 0861.30033
author: Rauno Aulaskari
author: David A. Stegenga
author: Jie Xiao
published in: Rocky Mountain Journal of Mathematics
publication date: 1996-12-12T00:00:00Z
full work available at URL: CONT26-2.html
review text: The authors study a collection of subclasses of BMOA defined by means of a modified Garcia norm and show that these classes are equivalently defined by means of a modified Carleson measure. They extend a result of C. Fefferman on series with nonnegative coefficients to these classes and also compare them with the classes of mean Lipschitz functions. Finally they show some clear differences between the analytic and meromorphic cases of these classes.
Mathematics Subject Classification ID: 30D45
Mathematics Subject Classification ID: 30D50
zbMATH DE Number: 944404
zbMATH Keywords: \(p\)-Carleson measure
zbMATH Keywords: BMOA
reviewed by: Zengjian Lou
MaRDI profile type: Publication
OpenAlex ID: W2055639910
cites work: Q3700013
cites work: Q4308185
cites work: On \(\alpha\)-Bloch spaces and multipliers of Dirichlet spaces
cites work: ON SUBSPACES AND SUBSETS OF BMOA AND UBC
cites work: Some Characterizations of Normal and Little Normal Functions
cites work: Q3954045
cites work: Boundedness of Hankel Matrices
cites work: Q3825487
cites work: Q5618011
cites work: Q3922907
cites work: Characterizations of bounded mean oscillation
cites work: \(H^p\) spaces of several variables
cites work: Q3343169
cites work: Boundary behaviour and normal meromorphic functions
cites work: The Carleson measure and meromorphic functions of uniformly bounded characteristic
cites work: On Bloch Functions
cites work: An \(H^ 1\) multiplier theorem
cites work: Bounded Toeplitz Operators on H 1 and Applications of the Duality Between H 1 and the Functions of Bounded Mean Oscillation
cites work: Multipliers of the Dirichlet space
cites work: Besov-type characterisations for the Bloch space
cites work: Q4282702
cites work: On little bloch space, its carleson measure, atomic decomposition and free interpolation
cites work: Functions of uniformly bounded characteristic
cites work: Q3708258
cites work: Q3999007
DOI: 10.1216/RMJM/1181072070
description: scientific article; zbMATH DE number 944404