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Some remarks on L¹ embeddings in the subelliptic setting
https://oist.repo.nii.ac.jp/records/1761
https://oist.repo.nii.ac.jp/records/17615ecae023-6273-4608-a063-2e47f9c3e5e3
名前 / ファイル | ライセンス | アクション |
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1-s2.0-S0362546X20303084-main (811.9 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 | 2020-11-05 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Some remarks on L¹ embeddings in the subelliptic setting | |||||
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 | Lorentz spaces | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | L1 regime | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Stratified group | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Subelliptic estimates | |||||
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) |
Krantz, Steven G.
× Krantz, Steven G.× Peloso, Marco M.× Spector, Daniel |
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書誌情報 |
en : Nonlinear Analysis 巻 202, p. 112149, 発行日 2020-09-28 |
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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 estimate for the Riesz potential in the L¹ regime in the setting of a stratified group G: Let Q ≥ 2 be the homogeneous dimension of G and [Formula: see text] denote the Riesz potential of order α on G. Then, for every α∈(0,Q), there exists a constant C = C(α,Q) > 0 such that [Formula: see text] for all [Formula: see text] such that [Formula: see text], where X denotes the horizontal gradient. |
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出版者 | ||||||
出版者 | Elsevier | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0362-546X | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1016/j.na.2020.112149 | |||||
権利 | ||||||
権利情報 | © 2020 The Author(s) | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://www.sciencedirect.com/science/article/pii/S0362546X20303084?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 |