{"created":"2023-07-27T06:44:33.961846+00:00","id":34836,"links":{},"metadata":{"_buckets":{"deposit":"c31b6bf2-3f35-4c33-94ba-bef226991de5"},"_deposit":{"created_by":3,"id":"34836","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"34836"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00034836","sets":["2812:2813:2833"]},"author_link":["85759","75"],"item_9_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2001-03-01","bibliographicIssueDateType":"Issued"},"bibliographicPageStart":"5p.","bibliographicVolumeNumber":"1999-2000","bibliographic_titles":[{"bibliographic_title":"平成12(2000)年度 科学研究費補助金 基盤研究(C) 研究成果報告書"},{"bibliographic_title":"2000 Fiscal Year Final Research Report","bibliographic_titleLang":"en"}]}]},"item_9_creator_33":{"attribute_name":"著者別表示","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{}],"nameIdentifiers":[{},{}]}]},"item_9_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"(1)積分核に単位球面上でLlog L条件を仮定すると,これにより定義されるMarcinkiewicz関数がウィーク(1,1)評価を満足することを示した.(共同研究者:Dashan Fan.) (2)滑らかなカルデロン・ジグムント特異積分核から定義される振動特異積分作用素に対するA_1ウェイト付のL^1空間でのウィーク(1,1)評価が証明された. (3)ある種のディニ条件を満足する特異積分核から定義される振動特異積分作用素に対する,仮定されているディニ条件に対応したウェイト付のL^1空間でのウィーク(1,1)評価が証明された. (4)n次元ユークリッド空間とトーラス上のL^p空間,ハーディ空間に作用する多重線形作用素間のトランスファランス定理とその応用が示された.(共同研究者:Dashan Fan.) (5)n次元ユークリッド空間とトーラス上のリトルウッドーペイリイ関数のL^p評価,弱L^p評価,H^p-L^p評価,H^p-弱L^p評価等の評価間のトランスファランス定理とその応用が示された.(共同研究者:Chang-Pao Chen,Dashan Fan.) (6)滑らかさの正則性のない積分核から定義される,曲線に沿ったLittlewood-Paley関数とそれに関係した特異積分に対するL^p有界性を示した.(共同研究者:Dashan Fan.)","subitem_description_type":"Abstract"},{"subitem_description":"(1) We proved the weak type (1,1) estimates for the Marcinkiewicz integrals by assuming for the kernel the L log L condition on the unit sphere S^<n-1>.\n(2) We proved the A_1-weighted weak (1,1) estimates for the oscillatory singular integrals of polynomial phase arising from the smooth kernels.\n(3) We proved the weighted weak (1,1) estimate for the oscillatory singular integrals of polynomial phase with the rough kernels satisfying certain Dini conditions, assuming for the weights the conditions corresponding to the Dini conditions.\n(4) We proved transference theorems between the multilinear multiplier operators on the Euclid space R^n and the ones on the torus T^n. Also we obtained some applications of these results.\n(5) We proved transference theorems for the L^P, the weak L^P and H^P-L^P estimates between the Littlewood-Paley functions on the Euclid space R^n and those on the torus T^n. Also we obtained some applications of these results.\n(6) We proved the L^P estimates for the Littlewood-Paley functions along curves and the related singular integrals, both arising from the rough kernels. As applications, we proved the L^P estimates for the Marcinkiewicz integrals along curves and the singular integrals associated to the surfaces of revolutions, both with H^1 kernels.","subitem_description_type":"Abstract"}]},"item_9_description_22":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究課題/領域番号:11640158, 研究期間(年度):1999–2000","subitem_description_type":"Other"},{"subitem_description":"出典：「多変数フーリエ積分に関する基礎的・応用的研究」研究成果報告書　課題番号11640158\n(KAKEN：科学研究費助成事業データベース（国立情報学研究所）)\n　　　本文データは著者版報告書より作成","subitem_description_type":"Other"}]},"item_9_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00034823","subitem_identifier_reg_type":"JaLC"}]},"item_9_publisher_17":{"attribute_name":"公開者","attribute_value_mlt":[{"subitem_publisher":"金沢大学教育学部"}]},"item_9_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/search/?qm=20162430","subitem_relation_type_select":"URI"}},{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640158/","subitem_relation_type_select":"URI"}},{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-11640158/116401582000kenkyu_seika_hokoku_gaiyo/","subitem_relation_type_select":"URI"}}]},"item_9_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_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-10-05"}],"displaytype":"detail","filename":"ED-PR-SATO-S-kanen 2001-5p.pdf","filesize":[{"value":"239.8 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"ED-PR-SATO-S-kanen 2001-5p.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/34836/files/ED-PR-SATO-S-kanen 2001-5p.pdf"},"version_id":"4aa5fa47-ad9e-4762-b442-490209a30d1a"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"多変数フーリエ積分に関する基礎的・応用的研究","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"多変数フーリエ積分に関する基礎的・応用的研究"},{"subitem_title":"Research on Fourier integrals of several variables","subitem_title_language":"en"}]},"item_type_id":"9","owner":"3","path":["2833"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-10-05"},"publish_date":"2017-10-05","publish_status":"0","recid":"34836","relation_version_is_last":true,"title":["多変数フーリエ積分に関する基礎的・応用的研究"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-07-27T14:46:01.420541+00:00"}