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The Balayage onto Closed Sets with Respect to Continuous Function-Kernels
http://hdl.handle.net/10083/2286
http://hdl.handle.net/10083/22860915e11a-f898-4695-ba44-2fcab34a1e47
名前 / ファイル | ライセンス | アクション |
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KJ00004829980.pdf (429.8 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-04-30 | |||||
タイトル | ||||||
タイトル | The Balayage onto Closed Sets with Respect to Continuous Function-Kernels | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Watanabe, Hisako
× Watanabe, Hisako |
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著者(ヨミ) | ||||||
識別子 | 70206 | |||||
識別子Scheme | WEKO | |||||
姓名 | ワタナベ, ヒサコ | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 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. | |||||
書誌情報 |
お茶の水女子大學自然科學報告 巻 32, 号 1, p. 13-21, 発行日 1981-07 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00298190 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00033958 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
形態 | ||||||
429825 bytes | ||||||
日本十進分類法 | ||||||
主題Scheme | NDC | |||||
主題 | 400 | |||||
出版者 | ||||||
出版者 | お茶の水女子大学 | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | 紀要論文 | |||||
資源タイプ・ローカル | ||||||
紀要論文 | ||||||
資源タイプ・NII | ||||||
Departmental Bulletin Paper | ||||||
資源タイプ・DCMI | ||||||
text | ||||||
資源タイプ・ローカル表示コード | ||||||
03 | ||||||
所属 | ||||||
Department of Mathematics, Faculty of Science, Ochanomizu University |