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SUPERHARMONIC TANGENTIAL APPROXIMATION ON LONG ISLANDS

Published online by Cambridge University Press:  01 January 2000

KOHUR GOWRISANKARAN  and
ASHOT H. NERSESSIAN
KOHUR GOWRISANKARAN
Affiliation:
Burnside Hall, Department of Mathematics and Statistics, McGill University, Montreal H3A 2K6, Canada
ASHOT H. NERSESSIAN
Affiliation:
Burnside Hall, Department of Mathematics and Statistics, McGill University, Montreal H3A 2K6, Canada
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Abstract

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.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 1 , January 2000 , pp. 47 - 53
Copyright
© The London Mathematical Society 2000

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