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Exposed sets in potential theory

Publication at Faculty of Mathematics and Physics |
2006

Abstract

Let U be a relatively compact open subset of a harmonic space, and H(U) be the function space of all continuous functions on which are harmonic on U. We give a complete characterization of the H(U)-exposed subsets of.

This extends the results of [J. Lukeš, T.

Mocek, M. Smrčka, J.

Spurný, Choquet like sets in function spaces, Bull. Sci.

Math. 127 (2003) 397437].