{"created":"2023-06-20T15:10:43.539289+00:00","id":6968,"links":{},"metadata":{"_buckets":{"deposit":"d8ee2132-6ebf-44d2-81b3-624af4fff2d3"},"_deposit":{"created_by":3,"id":"6968","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"6968"},"status":"published"},"_oai":{"id":"oai:ynu.repo.nii.ac.jp:00006968","sets":["616:627:667"]},"author_link":["29927","29928","29929"],"item_6_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2001","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"15","bibliographicPageStart":"1","bibliographicVolumeNumber":"49","bibliographic_titles":[{"bibliographic_title":"Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学"}]}]},"item_6_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_6_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Suppose that ＄￥Omega(x^{￥prime}, y^{￥prime})￥in L^{1}(S^{n-1}￥times S^{m-1})＄ is ahomogeneous function of degree zero ＄satis￥Phi ing＄ the mean zero propeIty (1.1), and that ＄h(s,t)＄ ls a bounded function on ＄Rx＄ R. The Marcinkiewicz integral operator ＄m(f)＄ along a continuous surface ＄￥gamma(u, v)＄ on the product space ＄R^{n}xR^{m}(n￥geq 2, m￥geq 2)＄ is defined by ＄￥iota_{O}f(￥xi, ￥eta, z)=(￥int_{R}￥int_{R}|F_{l,￥epsilon}(x, y, z)|^{2}2^{-2t-2￥epsilon}dtds)^{1/2}＄ where ＄F_{t,e}(￥xi, ￥eta, z)＄ ＄=￥int_{|_{￥nu}^{x}|^{:}}<2h(|x|, |y|)|x|^{-n+1}|y|^{-m+1}￥Omega(x^{￥prime}, y^{￥prime})f(￥xi-x,￥eta-y, z-￥gamma(|x|, |y|))dxdy<2＄ We prove that the operator ＄￥nu_{￥Omega}f＄ is bounded on ＄L^{P}(R^{n} xR^{m}xR),＄ ＄p￥in(1, ￥infty)＄ , provided that ＄￥Omega＄ is a function in certain block space ＄B_{q}^{0,1}(S^{n-1}xS^{m-1})＄ for some ＄q>1＄ and that two lower dimensional maximal functions related to ＄￥gamma＄ are bounded on ＄L^{p}＄ . These two lower dimensional maximal functions are natural extension of a well-known maximal function along curves.","subitem_description_type":"Abstract"}]},"item_6_publisher_35":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Yokohama City University and Yokohama National University"}]},"item_6_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA0089285X","subitem_source_identifier_type":"NCID"}]},"item_6_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00440523","subitem_source_identifier_type":"ISSN"}]},"item_6_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Mathematics, Beijing Normal University, Beijing, 100875, RPC"},{"subitem_text_value":"Department of Mathematics, University of Wisconsin-Milwaukee, MIlwaukee, WI 53201, USA"},{"subitem_text_value":"Department of Math., University of Pittsburgh, Pittsburgh, PA 15260 USA"}]},"item_6_version_type_18":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ding, Yong"}],"nameIdentifiers":[{"nameIdentifier":"29927","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Fan, Dashan"}],"nameIdentifiers":[{"nameIdentifier":"29928","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Pan, Yobiao"}],"nameIdentifiers":[{"nameIdentifier":"29929","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":"2016-09-26"}],"displaytype":"detail","filename":"YMJ_49_N1_2001_001-015.pdf","filesize":[{"value":"1.0 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"YMJ_49_N1_2001_001-015.pdf","url":"https://ynu.repo.nii.ac.jp/record/6968/files/YMJ_49_N1_2001_001-015.pdf"},"version_id":"196765ad-f734-4019-952b-f7966d6c71ac"}]},"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":"MARCINKIEWICZ INTEGRALS WITH ROUGH KERNELS ON PRODUCT SPACES","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"MARCINKIEWICZ INTEGRALS WITH ROUGH KERNELS ON PRODUCT SPACES"}]},"item_type_id":"6","owner":"3","path":["667"],"pubdate":{"attribute_name":"公開日","attribute_value":"2009-12-15"},"publish_date":"2009-12-15","publish_status":"0","recid":"6968","relation_version_is_last":true,"title":["MARCINKIEWICZ INTEGRALS WITH ROUGH KERNELS ON PRODUCT SPACES"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-06-20T18:56:12.939959+00:00"}