Limits of balayage measures |
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Authors: | W Hansen I Netuka |
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Institution: | (1) Fakultät für Mathematik, Universität Bielefeld, Universitätsstraße, 4800 Bielefeld 1, Germany;(2) Mathematical Institute, Charles University, Sokolovská 83, 18600 Praha 8, Czechoslovakia |
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Abstract: | LetA be a subset of a balayage space (X,W) and a measure onX. It is shown that for every sequence n of measures such that limnn and limn
n
A
= the limit measure is of the formf+(1-f)]A for some (unique) Borel function 0f1Cb(A). Furthermore, conditions are given such that any such functionf occurs. |
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Keywords: | 31D05 28A33 |
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