WEKO3
アイテム
{"_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": ["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": [{"nameIdentifier": "16937", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Zhou, Xiaodan"}], "nameIdentifiers": [{"nameIdentifier": "16938", "nameIdentifierScheme": "WEKO"}]}]}, "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\u0027s 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", "download_preview_message": "", "file_order": 0, "filename": "BV_functions_in_1d_spaces_Mar4_AM.pdf", "filesize": [{"value": "356.5 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 356500.0, "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"], "permalink_uri": "https://oist.repo.nii.ac.jp/records/2606", "pubdate": {"attribute_name": "公開日", "attribute_value": "2022-03-25"}, "publish_date": "2022-03-25", "publish_status": "0", "recid": "2606", "relation": {}, "relation_version_is_last": true, "title": ["Functions of Bounded Variation on Complete and Connected One-Dimensional Metric Spaces"], "weko_shared_id": 31}
Functions of Bounded Variation on Complete and Connected One-Dimensional Metric Spaces
https://oist.repo.nii.ac.jp/records/2606
https://oist.repo.nii.ac.jp/records/2606202f7a01-dd17-470a-b314-484f23b4be77
名前 / ファイル | ライセンス | アクション |
---|---|---|
BV_functions_in_1d_spaces_Mar4_AM (356.5 kB)
|
|
Item type | 学術雑誌論文 / Journal Article(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2022-03-25 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Functions of Bounded Variation on Complete and Connected One-Dimensional Metric Spaces | |||||
言語 | ||||||
言語 | eng | |||||
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) |
Lahti, Panu
× Lahti, Panu× Zhou, Xiaodan |
|||||
書誌情報 |
en : International Mathematics Research Notices 巻 2021, 号 20, p. 15412-15443, 発行日 2020-04-07 |
|||||
抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 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. | |||||
出版者 | ||||||
出版者 | Oxford University Press | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1073-7928 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1687-0247 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1093/imrn/rnaa064 | |||||
権利 | ||||||
権利情報 | © The Author(s) 2020. | |||||
権利 | ||||||
権利情報 | 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 | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://academic.oup.com/imrn/article/2021/20/15412/5816674 | |||||
著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa |