@article{oai:teapot.lib.ocha.ac.jp:00034803,
 author = {Watanabe, Hisako},
 issue = {1},
 journal = {お茶の水女子大學自然科學報告},
 month = {Jul},
 note = {application/pdf, 紀要論文, Let X be a locally compact Hausdorff space with a countable base and G be a continuous function-kernel on X such that each non-empty open set is non-negligible with respect to G. Under the assumption that G and the adjoint kernel G satisfies the continuity principle, R. Durier proved that, if G or G satisfies the domination principle, G or G does the balayaged principle and conversely ([2]). Further, I. Higuchi and M. Ito obtained the same conclusion without the assumption of the continuity principle ([3]). In this paper we shall consider the balayage onto any closed non-negligible set with respect to a continuous function-kernel G satisfying the domination principle. We shall show that, if each non-empty open set is non-negligible and the convex cone of continuous potentials is adapted, then it is possible to balayage onto any closed non-negligible set. Further, we shall show that there exists a "minimum" balayaged potential uniquely up to a negligible set.},
 pages = {13--21},
 title = {The Balayage onto Closed Sets with Respect to Continuous Function-Kernels},
 volume = {32},
 year = {1981}
}