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The fractional variation and the precise representative of BV alpha,p functions
https://oist.repo.nii.ac.jp/records/2667
https://oist.repo.nii.ac.jp/records/26673a09a097-54a3-4315-8137-b41d070ca175
名前 / ファイル | ライセンス | アクション |
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Comi2022_Article_TheFractionalVariationAndThePr (653.3 kB)
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CC BY 4.0
Creative Commons Attribution 4.0 International (https://creativecommons.org/licenses/by/4.0/) |
Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2022-06-27 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | The fractional variation and the precise representative of BV alpha,p functions | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Fractional gradient | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Fractional divergence | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Fractional variation | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Hausdorff measure | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Fractional capacity | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Precise representative | |||||
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 | journal article | |||||
著者(英) |
Comi, Giovanni E.
× Comi, Giovanni E.× Spector, Daniel× Stefani, Giorgio |
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書誌情報 |
en : Fractional Calculus and Applied Analysis 巻 25, 号 2, p. 520-558, 発行日 2022-04-25 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | We continue the study of the fractional variation following the distributional approach developed in the previous works Bruè et al. (2021), Comi and Stefani (2019), Comi and Stefani (2019). We provide a general analysis of the distributional space BVα,p(Rn) of Lp functions, with p∈[1,+∞], possessing finite fractional variation of order α∈(0,1). Our two main results deal with the absolute continuity property of the fractional variation with respect to the Hausdorff measure and the existence of the precise representative of a BVα,p function. | |||||
出版者 | ||||||
出版者 | Springer Nature | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1311-0454 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1314-2224 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1007/s13540-022-00036-0 | |||||
権利 | ||||||
権利情報 | © 2022 The Author(s) | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://link.springer.com/article/10.1007/s13540-022-00036-0 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |