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Superharmonic tangential approximation on long islands

Authors
Publisher
Oxford University Press
Publication Date
Keywords
  • Axiomatic Potential Theory
Disciplines
  • Mathematics

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.

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