SUPERHARMONIC TANGENTIAL APPROXIMATION ON LONG ISLANDS

We prove uniform and tangential approximation theorems for superharmonic functions in abstract harmonic spaces. Our tangential approximation theorem differs from traditional ones by the absence of the so-called long islands condition. The result is new also in the case of the classical potential the...

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Veröffentlicht in:	The Bulletin of the London Mathematical Society 2000-01, Vol.32 (1), p.47-53
Hauptverfasser:	GOWRISANKARAN, KOHUR, NERSESSIAN, ASHOT H.
Format:	Artikel
Sprache:	eng
Schlagworte:	NOTES AND PAPERS
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We prove uniform and tangential approximation theorems for superharmonic functions in abstract harmonic spaces. Our tangential approximation theorem differs from traditional ones by the absence of the so-called long islands condition. The result is new also in the case of the classical potential theory.
ISSN:	0024-6093 1469-2120
DOI:	10.1112/S0024609399006451