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A note on continuity principle in potential theory. (English) Zbl 0562.31009

The author extends the classical Evans-Vasilesco theorem to potentials of signed measures with compact support. The extension works for a strictly positive continuous function kernel satisfying a domination principle, in particular for the Riesz kernel \(| x-y|^{\alpha -n}\) for \(0<\alpha \leq 2<n\).
Reviewer: C.Berg

MSC:

31C15 Potentials and capacities on other spaces
31D05 Axiomatic potential theory
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