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
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References
J. Bliedtner and W. Hansen:.Simplicial Cones in Potential Theory II (Approximation Theorems). Inventiones Math., 46 (1978), 255–275.
J. Bliedtner and W. Hansen: Potential Theory – An Analytic and Probabilistic Approach to Balayage. Universitext. Springer-Verlag (1986).
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© 1988 Plenum Press, New York
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Bliedtner, J., Hansen, W. (1988). Approximation by Continuous Potentials. In: Král, J., Lukeš, J., Netuka, I., Veselý, J. (eds) Potential Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0981-9_7
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DOI: https://doi.org/10.1007/978-1-4613-0981-9_7
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8276-1
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