{"created":"2021-03-01T06:59:41.089564+00:00","id":40108,"links":{},"metadata":{"_buckets":{"deposit":"c389bf25-78ef-49de-8f58-66c0a130f229"},"_deposit":{"id":"40108","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40108"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040108","sets":["312:6865:6949:6957","9:504:6868:6951:6958"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2007-03-20","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"30","bibliographicPageStart":"1","bibliographicVolumeNumber":"14","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this paper, we establish the Littlewood-Paley-Stein inequality on general metric spaces %We show this inequality under a weaker condition than the lower boundedness of Bakry-Emery's $\\Gamma_{2}$. We also discuss Riesz transforms. %a relationship of Sobolev norms. As examples, we deal with diffusion processes on a path space associated with stochastic partial differential equations (SPDEs in short) and a class of superprocesses with immigration.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"42B25(MSC2000)"},{"subitem_text_value":"60J60(MSC2000)"},{"subitem_text_value":"60H15(MSC2000)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2003-12-01"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kawabi, Hiroshi"}],"nameIdentifiers":[{"nameIdentifier":"138681","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Miyokawa, Tomohiro"}],"nameIdentifiers":[{"nameIdentifier":"138682","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-27"}],"displaytype":"detail","filename":"jms140101.pdf","filesize":[{"value":"232.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms140101.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40108/files/jms140101.pdf"},"version_id":"6e00ad9d-a729-4999-92cd-d0a2ce1b8859"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Littlewood-Paley-Stein inequality","subitem_subject_scheme":"Other"},{"subitem_subject":"gradient estimate condition","subitem_subject_scheme":"Other"},{"subitem_subject":"Riesz transforms","subitem_subject_scheme":"Other"},{"subitem_subject":"SPDEs","subitem_subject_scheme":"Other"},{"subitem_subject":"superprocesses","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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"The Littlewood-Paley-Stein inequality for diffusion processes on general metric spaces","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"The Littlewood-Paley-Stein inequality for diffusion processes on general metric spaces"}]},"item_type_id":"4","owner":"1","path":["6957","6958"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-24"},"publish_date":"2008-03-24","publish_status":"0","recid":"40108","relation_version_is_last":true,"title":["The Littlewood-Paley-Stein inequality for diffusion processes on general metric spaces"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:13:34.128753+00:00"}