Joint Approximation in BMOA and VMOA

In this paper we characterize completely Farrell sets and Mergelyan sets for the BMOA class with respect to the weak-* topology and give partial answers to the same simultaneous approximation problems for the VMOA class.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 237; no. 1; pp. 128 - 138
Main Authors Pérez-González, Fernando, Trujillo-González, Rodrigo, Stray, Arne
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 01.09.1999
Elsevier
Subjects
Approximations and expansions
Exact sciences and technology
Mathematical analysis
Mathematics
Sciences and techniques of general use
Approximation
Garsia norm
Poisson integral
Banach space
Mergelyan set
Hardy space
Farrel set
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ISSN0022-247X
1096-0813
DOI10.1006/jmaa.1999.6468

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Summary:In this paper we characterize completely Farrell sets and Mergelyan sets for the BMOA class with respect to the weak-* topology and give partial answers to the same simultaneous approximation problems for the VMOA class.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1999.6468