✦ LIBER ✦

Discontinuity of Best Harmonic Approximants

✍ Scribed by D. Legg; Y. Pan

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 108 KB
Volume: 96
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1998.3241

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✦ Synopsis

Let D R 2 be the open unit disk. We consider best harmonic approximation to functions continuous on D . In a basic paper, Hayman et al. characterized best harmonic approximants which are themselves continuous on D . In this paper we give sufficient conditions and many simple examples of functions continuous on D which have no best harmonic approximants which are continuous on D .

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