{"created":"2023-06-26T11:01:04.705067+00:00","id":1693,"links":{},"metadata":{"_buckets":{"deposit":"ed9b4367-026c-485e-a6e3-3d58500da7b3"},"_deposit":{"created_by":30,"id":"1693","owners":[30],"pid":{"revision_id":0,"type":"depid","value":"1693"},"status":"published"},"_oai":{"id":"oai:oist.repo.nii.ac.jp:00001693","sets":["6:193"]},"author_link":["10165"],"item_10001_biblio_info_7":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020-04-09","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageStart":"108559","bibliographicVolumeNumber":"279","bibliographic_titles":[{},{"bibliographic_title":"Journal of Functional Analysis","bibliographic_titleLang":"en"}]}]},"item_10001_creator_3":{"attribute_name":"Author","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Spector, Daniel"}],"nameIdentifiers":[{}]}]},"item_10001_description_5":{"attribute_name":"Abstract","attribute_value_mlt":[{"subitem_description":"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.","subitem_description_type":"Other"}]},"item_10001_publisher_8":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Elsevier Inc."}]},"item_10001_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"info:doi/10.1016/j.jfa.2020.108559","subitem_relation_type_select":"DOI"}}]},"item_10001_relation_17":{"attribute_name":"Related site","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://www.sciencedirect.com/science/article/pii/S0022123620301026?via%3Dihub","subitem_relation_type_select":"URI"}}]},"item_10001_rights_15":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"© 2020 The Author"}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0022-1236","subitem_source_identifier_type":"ISSN"}]},"item_10001_version_type_20":{"attribute_name":"Author's flag","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-09-10"}],"displaytype":"detail","filename":"Spector-2020-An optimal Sobolev embedding for.pdf","filesize":[{"value":"457.1 kB"}],"format":"application/pdf","license_note":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (https://creativecommons.org/licenses/by-nc-nd/4.0/)","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"Spector-2020-An optimal Sobolev embedding for","url":"https://oist.repo.nii.ac.jp/record/1693/files/Spector-2020-An optimal Sobolev embedding for.pdf"},"version_id":"54ba8e1b-89b3-4fdb-9e65-6db9f14caed4"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Sobolev embeddings","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"L1 -type estimates","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Riesz potentials","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"An optimal Sobolev embedding for L1","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"An optimal Sobolev embedding for L1","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"30","path":["193"],"pubdate":{"attribute_name":"公開日","attribute_value":"2020-09-10"},"publish_date":"2020-09-10","publish_status":"0","recid":"1693","relation_version_is_last":true,"title":["An optimal Sobolev embedding for L1"],"weko_creator_id":"30","weko_shared_id":30},"updated":"2023-06-26T11:44:54.874938+00:00"}