Approximation by Continuous Potentials

Jürgen Bliedtner and Wolfhard Hansen
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Jürgen Bliedtner: Universität Frankfurt, Fachbereich Mathematik
Wolfhard Hansen: Universität Bielefeld, Fakultät für Mathematik

A chapter in Potential Theory, 1988, pp 53-58 from Springer

Abstract: Abstract In this note we improve theorems in [1] and [2] dealing with approximation of (super)harmonic functions by continuous potentials. That is, we intend to show that for every finely open set G of a balayage space (X, W) there exists a continuous potential q ε P such that $$S(G) = \overline {P + \mathbb{R}q} ,H(G) = \overline {H(q)}$$ .

Date: 1988
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DOI: 10.1007/978-1-4613-0981-9_7

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