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Superposition operators on Dirichlet spaces
http://hdl.handle.net/10097/00105924
http://hdl.handle.net/10097/00105924339af3b9-6218-45a8-9186-07df517d084f
| Item type | [ELS]紀要論文 / Departmental Bulletin Paper(1) | |||||||
|---|---|---|---|---|---|---|---|---|
| 公開日 | 2017-04-07 | |||||||
| タイトル | ||||||||
| タイトル | Superposition operators on Dirichlet spaces | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| 資源タイプ | ||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||
| 資源タイプ | departmental bulletin paper | |||||||
| アクセス権 | ||||||||
| アクセス権 | metadata only access | |||||||
| アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||||
| 雑誌書誌ID | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AA00863953 | |||||||
| 論文名よみ | ||||||||
| タイトル | Superposition operators on Dirichlet spaces | |||||||
| 著者 |
Fitzsimmons, Patrick J.
× Fitzsimmons, Patrick J.
|
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| 著者所属(英) | ||||||||
| en | ||||||||
| Department of Mathematics, University of California, San Diego | ||||||||
| 記事種別(英) | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | Article | |||||||
| 抄録(英) | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | In the context of a strongly local Dirichlet space we show that if a function mapping the real line to itself (and fixing the origin) operates by composition on the left to map the Dirichlet space into itself, then the function is necessarily locally Lipschitz continuous. If, in addition, the Dirichlet space contains unbounded elements, then the function must be globally Lipschitz continuous. The proofs rely on a co-area formula for condenser potentials. | |||||||
| 書誌情報 |
東北數學雜誌. Second series en : Tohoku mathematical journal. Second series 巻 56, 号 3, p. 327-340, 発行日 2004-09-01 |
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| URL | ||||||||
| 識別子 | J-STAGE | https://www.jstage.jst.go.jp/article/tmj/56/3/56_3_327/_article/-char/ja | |||||||
| 識別子タイプ | URI | |||||||
| ISSN | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 00408735 | |||||||
