{"created":"2023-06-26T11:01:50.893172+00:00","id":2606,"links":{},"metadata":{"_buckets":{"deposit":"ba307852-400c-4f4d-add0-bcda8a732363"},"_deposit":{"created_by":31,"id":"2606","owners":[31],"pid":{"revision_id":0,"type":"depid","value":"2606"},"status":"published"},"_oai":{"id":"oai:oist.repo.nii.ac.jp:00002606","sets":["6:212"]},"author_link":["16937","16938"],"item_10001_biblio_info_7":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020-04-07","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"20","bibliographicPageEnd":"15443","bibliographicPageStart":"15412","bibliographicVolumeNumber":"2021","bibliographic_titles":[{},{"bibliographic_title":"International Mathematics Research Notices","bibliographic_titleLang":"en"}]}]},"item_10001_creator_3":{"attribute_name":"Author","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Lahti, Panu"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Zhou, Xiaodan"}],"nameIdentifiers":[{}]}]},"item_10001_description_5":{"attribute_name":"Abstract","attribute_value_mlt":[{"subitem_description":"In this paper, we study functions of bounded variation on a complete and connected metric space with finite one-dimensional Hausdorff measure. The definition of BV functions on a compact interval based on pointwise variation is extended to this general setting. We show this definition of BV functions is equivalent to the BV functions introduced by Miranda [18]. Furthermore, we study the necessity of conditions on the underlying space in Federer’s characterization of sets of finite perimeter on metric measure spaces. In particular, our examples show that the doubling and Poincaré inequality conditions are essential in showing that a set has finite perimeter if the codimension one Hausdorff measure of the measure-theoretic boundary is finite.","subitem_description_type":"Other"}]},"item_10001_publisher_8":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Oxford University Press"}]},"item_10001_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"info:doi/10.1093/imrn/rnaa064","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://academic.oup.com/imrn/article/2021/20/15412/5816674","subitem_relation_type_select":"URI"}}]},"item_10001_rights_15":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"© The Author(s) 2020."},{"subitem_rights":"This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record Panu Lahti, Xiaodan Zhou, Functions of Bounded Variation on Complete and Connected One-Dimensional Metric Spaces, International Mathematics Research Notices, Volume 2021, Issue 20, October 2021, Pages 15412–15443 is available online at: www.doi.org/10.1093/imrn/rnaa064"}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1073-7928","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"1687-0247","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_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-04-25"}],"displaytype":"detail","filename":"BV_functions_in_1d_spaces_Mar4_AM.pdf","filesize":[{"value":"356.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"BV_functions_in_1d_spaces_Mar4_AM","url":"https://oist.repo.nii.ac.jp/record/2606/files/BV_functions_in_1d_spaces_Mar4_AM.pdf"},"version_id":"f7da1f40-416c-47b2-82a9-5467f470332d"}]},"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":"Functions of Bounded Variation on Complete and Connected One-Dimensional Metric Spaces","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Functions of Bounded Variation on Complete and Connected One-Dimensional Metric Spaces","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"31","path":["212"],"pubdate":{"attribute_name":"公開日","attribute_value":"2022-03-25"},"publish_date":"2022-03-25","publish_status":"0","recid":"2606","relation_version_is_last":true,"title":["Functions of Bounded Variation on Complete and Connected One-Dimensional Metric Spaces"],"weko_creator_id":"31","weko_shared_id":31},"updated":"2023-06-26T11:28:11.324889+00:00"}