{"created":"2023-06-26T11:01:54.647337+00:00","id":2667,"links":{},"metadata":{"_buckets":{"deposit":"ee02afb4-756d-4498-b36d-5bd5b55f278a"},"_deposit":{"created_by":31,"id":"2667","owners":[31],"pid":{"revision_id":0,"type":"depid","value":"2667"},"status":"published"},"_oai":{"id":"oai:oist.repo.nii.ac.jp:00002667","sets":["6:193"]},"author_link":["17262","17263","17261"],"item_10001_biblio_info_7":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2022-04-25","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"558","bibliographicPageStart":"520","bibliographicVolumeNumber":"25","bibliographic_titles":[{},{"bibliographic_title":"Fractional Calculus and Applied Analysis","bibliographic_titleLang":"en"}]}]},"item_10001_creator_3":{"attribute_name":"Author","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Comi, Giovanni E."}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Spector, Daniel"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Stefani, Giorgio"}],"nameIdentifiers":[{}]}]},"item_10001_description_5":{"attribute_name":"Abstract","attribute_value_mlt":[{"subitem_description":"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.","subitem_description_type":"Other"}]},"item_10001_publisher_8":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Springer Nature"}]},"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/10.1007/s13540-022-00036-0","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://link.springer.com/article/10.1007/s13540-022-00036-0","subitem_relation_type_select":"URI"}}]},"item_10001_rights_15":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"© 2022 The Author(s)"}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1311-0454","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"1314-2224","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":"2022-06-27"}],"displaytype":"detail","filename":"Comi2022_Article_TheFractionalVariationAndThePr.pdf","filesize":[{"value":"653.3 kB"}],"format":"application/pdf","license_note":"CC BY 4.0\nCreative Commons Attribution 4.0 International (https://creativecommons.org/licenses/by/4.0/)","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"Comi2022_Article_TheFractionalVariationAndThePr","url":"https://oist.repo.nii.ac.jp/record/2667/files/Comi2022_Article_TheFractionalVariationAndThePr.pdf"},"version_id":"2914c0ae-ff40-42bc-9d4b-8e842fd32ac9"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Fractional gradient","subitem_subject_scheme":"Other"},{"subitem_subject":"Fractional divergence","subitem_subject_scheme":"Other"},{"subitem_subject":"Fractional variation","subitem_subject_scheme":"Other"},{"subitem_subject":"Hausdorff measure","subitem_subject_scheme":"Other"},{"subitem_subject":"Fractional capacity","subitem_subject_scheme":"Other"},{"subitem_subject":"Precise representative","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":"The fractional variation and the precise representative of BV alpha,p functions","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"The fractional variation and the precise representative of BV alpha,p functions","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"31","path":["193"],"pubdate":{"attribute_name":"公開日","attribute_value":"2022-06-27"},"publish_date":"2022-06-27","publish_status":"0","recid":"2667","relation_version_is_last":true,"title":["The fractional variation and the precise representative of BV alpha,p functions"],"weko_creator_id":"31","weko_shared_id":31},"updated":"2023-06-26T11:26:51.599196+00:00"}