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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 |
|---|---|---|
KJ00004829980.pdf (429.8 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 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Scheme | WEKO | |||||
| 識別子 | 70206 | |||||
| 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 | ||||||
