{"created":"2023-07-27T06:50:27.314093+00:00","id":43295,"links":{},"metadata":{"_buckets":{"deposit":"1dd3f4a7-df7c-4853-a400-dc63f4a4951a"},"_deposit":{"created_by":18,"id":"43295","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"43295"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00043295","sets":["11:12:16"]},"author_link":["69923","69924","75","69926","69925"],"item_4_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2017-10-25","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"07","bibliographicPageStart":"1750077","bibliographicVolumeNumber":"20","bibliographic_titles":[{"bibliographic_title":"Communications in Contemporary Mathematics"}]}]},"item_4_creator_33":{"attribute_name":"著者別表示","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"佐藤, 秀一"}],"nameIdentifiers":[{},{}]}]},"item_4_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this paper, the authors characterize the Sobolev spaces (Formula presented.) with (Formula presented.) and (Formula presented.) via a generalized Lusin area function and its corresponding Littlewood–Paley (Formula presented.)-function. The range (Formula presented.) is also proved to be nearly sharp in the sense that these new characterizations are not true when (Formula presented.) and (Formula presented.). Moreover, in the endpoint case (Formula presented.), the authors also obtain some weak type estimates. Since these generalized Littlewood–Paley functions are of wide generality, these results provide some new choices for introducing the notions of fractional Sobolev spaces on metric measure spaces. © 2017 World Scientific Publishing Company","subitem_description_type":"Abstract"}]},"item_4_description_22":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"Embargo Period 12 months","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"提供者所属","attribute_value_mlt":[{"subitem_description":"金沢大学人間社会研究域学校教育系   ","subitem_description_type":"Other"}]},"item_4_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00049642","subitem_identifier_reg_type":"JaLC"}]},"item_4_publisher_17":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"World Scientific Publishing Co. Pte Ltd"}]},"item_4_relation_12":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1142/S0219199717500778","subitem_relation_type_select":"DOI"}}]},"item_4_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"author"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"author","subitem_relation_type_select":"URI"}}]},"item_4_rights_23":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Copyright © World Scientific Publishing Co. Pte Ltd"}]},"item_4_source_id_11":{"attribute_name":"NCID","attribute_value_mlt":[{"subitem_source_identifier":"AA11357009","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0219-1997","subitem_source_identifier_type":"ISSN"}]},"item_4_version_type_25":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Sato, Shuichi"}],"nameIdentifiers":[{},{},{},{}]},{"creatorNames":[{"creatorName":"Wang, F."}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Yang, D."}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Yuan, W."}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-10-26"}],"displaytype":"detail","filename":"ED-PR-SATO-S-2017.pdf","filesize":[{"value":"293.7 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"ED-PR-SATO-S-1750077.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/43295/files/ED-PR-SATO-S-2017.pdf"},"version_id":"443a41c2-4c89-48ee-8aae-b690ee55e240"}]},"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":"Generalized Littlewood–Paley characterizations of fractional Sobolev spaces","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Generalized Littlewood–Paley characterizations of fractional Sobolev spaces"}]},"item_type_id":"4","owner":"18","path":["16"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-12-28"},"publish_date":"2017-12-28","publish_status":"0","recid":"43295","relation_version_is_last":true,"title":["Generalized Littlewood–Paley characterizations of fractional Sobolev spaces"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-07-27T16:54:01.526011+00:00"}