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An optimal Sobolev embedding for L1
https://oist.repo.nii.ac.jp/records/1693
https://oist.repo.nii.ac.jp/records/169311093184-2656-4f2b-a547-9008d1e6b822
名前 / ファイル | ライセンス | アクション |
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Spector-2020-An optimal Sobolev embedding for (457.1 kB)
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (https://creativecommons.org/licenses/by-nc-nd/4.0/)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2020-09-10 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | An optimal Sobolev embedding for L1 | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Sobolev embeddings | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | L1 -type estimates | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Riesz potentials | |||||
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) |
Spector, Daniel
× Spector, Daniel |
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書誌情報 |
en : Journal of Functional Analysis 巻 279, 号 3, p. 108559, 発行日 2020-04-09 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | In this paper we establish an optimal Lorentz space estimate for the Riesz potential acting on curl-free vectors: There is a constant C = C(α,d) > 0 such that [Formula: see text] for all fields F ∈ L1(Rd;Rd) such that curl F = 0 in the sense of distributions. This is the best possible estimate on this scale of spaces and completes the picture in the regime p = 1 of the well-established results for p > 1. | |||||
出版者 | ||||||
出版者 | Elsevier Inc. | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0022-1236 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1016/j.jfa.2020.108559 | |||||
権利 | ||||||
権利情報 | © 2020 The Author | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://www.sciencedirect.com/science/article/pii/S0022123620301026?via%3Dihub | |||||
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 |