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weighted Sobolev spaces with weights of the Muckenhoupt class and characterize the spaces by the square functions of Marcinkiewicz type defined by repeated averaging operations over spheres.","subitem_description_type":"Abstract"}]},"item_4_description_22":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"The author is partly supported by Grant-in-Aid for Scientific Research (C) No. 20K03651, Japan Society for the Promotion of 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© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022"}]},"item_4_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"2662-2963","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"2662-2971","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":[{"creatorNames":[{"creatorName":"Sato, Shuichi"}],"nameIdentifiers":[{},{},{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2022-09-29"}],"displaytype":"detail","filename":"ED-PR-SATO-S-3-66.pdf","filesize":[{"value":"388.7 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spheres"}]},"item_type_id":"4","owner":"18","path":["16"],"pubdate":{"attribute_name":"公開日","attribute_value":"2022-09-29"},"publish_date":"2022-09-29","publish_status":"0","recid":"60882","relation_version_is_last":true,"title":["Sobolev spaces and functions of Marcinkiewicz type with repeated averaging operations over spheres"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-07-27T12:22:59.428261+00:00"}