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We prove that certain Littlewood-Paley functions defined by kernels with no regularity concerning smoothness are bounded on weighted Lp spaces, 1 < p < 1, with weights of the Muckenhoupt class. This, in particular, generalizes a result of N. Rivière (1971).","subitem_description_type":"Abstract"}]},"item_4_publisher_17":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Springer Berlin Heidelberg"},{"subitem_publisher":"Institute of Mathematics CAS"}]},"item_4_relation_12":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.21136/CMJ.2018.0313-17","subitem_relation_type_select":"DOI"}}]},"item_4_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://link.springer.com/article/10.21136/CMJ.2018.0313-17","subitem_relation_type_select":"URI"}}]},"item_4_rights_23":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2017 Springer Nature Switzerland AG."}]},"item_4_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"15729141","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"00114642","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_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifierScheme":"ISNI","affiliationNameIdentifierURI":"http://www.isni.org/isni/"}],"affiliationNames":[{"affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"佐藤, 秀一","creatorNameLang":"ja"},{"creatorName":"Sato, Shuichi","creatorNameLang":"en"},{"creatorName":"サトウ, シユウイチ","creatorNameLang":"ja-Kana"}],"familyNames":[{"familyName":"佐藤","familyNameLang":"ja"},{"familyName":"Sato","familyNameLang":"en"},{"familyName":"サトウ","familyNameLang":"ja-Kana"}],"givenNames":[{"givenName":"秀一","givenNameLang":"ja"},{"givenName":"Shuichi","givenNameLang":"en"},{"givenName":"シユウイチ","givenNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"75","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"20162430","nameIdentifierScheme":"e-Rad_Researcher","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=20162430"},{"nameIdentifier":"20162430","nameIdentifierScheme":"金沢大学研究者情報","nameIdentifierURI":"http://ridb.kanazawa-u.ac.jp/public/detail.php?kaken=20162430"},{"nameIdentifier":"20162430","nameIdentifierScheme":"研究者番号","nameIdentifierURI":"https://nrid.nii.ac.jp/nrid/1000020162430"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-09-10"}],"displaytype":"detail","filename":"ED-PR-SATO-S-2018-15p.pdf","filesize":[{"value":"186.2 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"ED-PR-SATO-S-2018-15p","url":"https://kanazawa-u.repo.nii.ac.jp/record/45792/files/ED-PR-SATO-S-2018-15p.pdf"},"version_id":"2d324649-441b-40e5-a720-345e7ca741bb"}]},"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":"Boundedness of Littlewood Paley Operators Relative to non Isotropic Dilations","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Boundedness of Littlewood Paley Operators Relative to non Isotropic Dilations","subitem_title_language":"en"}]},"item_type_id":"4","owner":"17","path":["16"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2018-09-10"},"publish_date":"2018-09-10","publish_status":"0","recid":"45792","relation_version_is_last":true,"title":["Boundedness of Littlewood Paley Operators Relative to non Isotropic Dilations"],"weko_creator_id":"17","weko_shared_id":-1},"updated":"2025-01-20T07:11:33.311465+00:00"}