WEKO3
インデックスリンク
アイテム
{"_buckets": {"deposit": "1dd3f4a7-df7c-4853-a400-dc63f4a4951a"}, "_deposit": {"created_by": 18, "id": "43295", "owners": [18], "pid": {"revision_id": 0, "type": "depid", "value": "43295"}, "status": "published"}, "_oai": {"id": "oai:kanazawa-u.repo.nii.ac.jp:00043295", "sets": ["16"]}, "author_link": ["69923", "69924", "75", "69926", "69925"], "item_4_biblio_info_8": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2017-10-25", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "07", "bibliographicPageStart": "1750077", "bibliographicVolumeNumber": "20", "bibliographic_titles": [{"bibliographic_title": "Communications in Contemporary Mathematics"}]}]}, "item_4_creator_33": {"attribute_name": "著者別表示", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "佐藤, 秀一"}], "nameIdentifiers": [{"nameIdentifier": "69926", "nameIdentifierScheme": "WEKO"}, {"nameIdentifier": "20162430", "nameIdentifierScheme": "e-Rad", "nameIdentifierURI": "https://kaken.nii.ac.jp/ja/search/?qm=20162430"}]}]}, "item_4_description_21": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "In this paper, the authors characterize the Sobolev spaces (Formula presented.) with (Formula presented.) and (Formula presented.) via a generalized Lusin area function and its corresponding Littlewood–Paley (Formula presented.)-function. The range (Formula presented.) is also proved to be nearly sharp in the sense that these new characterizations are not true when (Formula presented.) and (Formula presented.). Moreover, in the endpoint case (Formula presented.), the authors also obtain some weak type estimates. Since these generalized Littlewood–Paley functions are of wide generality, these results provide some new choices for introducing the notions of fractional Sobolev spaces on metric measure spaces. © 2017 World Scientific Publishing Company", "subitem_description_type": "Abstract"}]}, "item_4_description_22": {"attribute_name": "内容記述", "attribute_value_mlt": [{"subitem_description": "Embargo Period 12 months", "subitem_description_type": "Other"}]}, "item_4_description_5": {"attribute_name": "提供者所属", "attribute_value_mlt": [{"subitem_description": "金沢大学人間社会研究域学校教育系 ", "subitem_description_type": "Other"}]}, "item_4_identifier_registration": {"attribute_name": "ID登録", "attribute_value_mlt": [{"subitem_identifier_reg_text": "10.24517/00049642", "subitem_identifier_reg_type": "JaLC"}]}, "item_4_publisher_17": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "World Scientific Publishing Co. Pte Ltd"}]}, "item_4_relation_12": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_type": "isVersionOf", "subitem_relation_type_id": {"subitem_relation_type_id_text": "10.1142/S0219199717500778", "subitem_relation_type_select": "DOI"}}]}, "item_4_relation_28": {"attribute_name": "関連URI", "attribute_value_mlt": [{"subitem_relation_name": [{"subitem_relation_name_text": "author"}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "author", "subitem_relation_type_select": "URI"}}]}, "item_4_rights_23": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "Copyright © World Scientific Publishing Co. Pte Ltd"}]}, "item_4_source_id_11": {"attribute_name": "NCID", "attribute_value_mlt": [{"subitem_source_identifier": "AA11357009", "subitem_source_identifier_type": "NCID"}]}, "item_4_source_id_9": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0219-1997", "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_ab4af688f83e57aa", "subitem_version_type": "AM"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Sato, Shuichi"}], "nameIdentifiers": [{"nameIdentifier": "75", "nameIdentifierScheme": "WEKO"}, {"nameIdentifier": "20162430", "nameIdentifierScheme": "e-Rad", "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"}]}, {"creatorNames": [{"creatorName": "Wang, F."}], "nameIdentifiers": [{"nameIdentifier": "69923", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Yang, D."}], "nameIdentifiers": [{"nameIdentifier": "69924", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Yuan, W."}], "nameIdentifiers": [{"nameIdentifier": "69925", "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": "2018-10-26"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "ED-PR-SATO-S-2017.pdf", "filesize": [{"value": "293.7 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_11", "mimetype": "application/pdf", "size": 293700.0, "url": {"label": "ED-PR-SATO-S-1750077.pdf", "url": "https://kanazawa-u.repo.nii.ac.jp/record/43295/files/ED-PR-SATO-S-2017.pdf"}, "version_id": "443a41c2-4c89-48ee-8aae-b690ee55e240"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Sobolev space", "subitem_subject_scheme": "Other"}, {"subitem_subject": "g-function", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Lusin area function", "subitem_subject_scheme": "Other"}, {"subitem_subject": "g∗λ-function", "subitem_subject_scheme": "Other"}, {"subitem_subject": "average", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Riesz potential operator", "subitem_subject_scheme": "Other"}, {"subitem_subject": "46E35", "subitem_subject_scheme": "Other"}, {"subitem_subject": "42B25", "subitem_subject_scheme": "Other"}, {"subitem_subject": "47G40", "subitem_subject_scheme": "Other"}, {"subitem_subject": "31B15", "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": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Generalized Littlewood–Paley characterizations of fractional Sobolev spaces", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Generalized Littlewood–Paley characterizations of fractional Sobolev spaces"}]}, "item_type_id": "4", "owner": "18", "path": ["16"], "permalink_uri": "https://doi.org/10.24517/00049642", "pubdate": {"attribute_name": "公開日", "attribute_value": "2017-12-28"}, "publish_date": "2017-12-28", "publish_status": "0", "recid": "43295", "relation": {}, "relation_version_is_last": true, "title": ["Generalized Littlewood–Paley characterizations of fractional Sobolev spaces"], "weko_shared_id": -1}
Generalized Littlewood–Paley characterizations of fractional Sobolev spaces
https://doi.org/10.24517/00049642
https://doi.org/10.24517/00049642aee99df9-e460-4f51-a186-b301b7e41038
名前 / ファイル | ライセンス | アクション |
---|---|---|
ED-PR-SATO-S-1750077.pdf (293.7 kB)
|
Item type | 学術雑誌論文 / Journal Article(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2017-12-28 | |||||
タイトル | ||||||
タイトル | Generalized Littlewood–Paley characterizations of fractional Sobolev spaces | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
ID登録 | ||||||
ID登録 | 10.24517/00049642 | |||||
ID登録タイプ | JaLC | |||||
著者 |
Sato, Shuichi
× Sato, Shuichi× Wang, F.× Yang, D.× Yuan, W. |
|||||
著者別表示 |
佐藤, 秀一
× 佐藤, 秀一 |
|||||
提供者所属 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 金沢大学人間社会研究域学校教育系 | |||||
書誌情報 |
Communications in Contemporary Mathematics 巻 20, 号 07, p. 1750077, 発行日 2017-10-25 |
|||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0219-1997 | |||||
NCID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11357009 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1142/S0219199717500778 | |||||
出版者 | ||||||
出版者 | World Scientific Publishing Co. Pte Ltd | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this paper, the authors characterize the Sobolev spaces (Formula presented.) with (Formula presented.) and (Formula presented.) via a generalized Lusin area function and its corresponding Littlewood–Paley (Formula presented.)-function. The range (Formula presented.) is also proved to be nearly sharp in the sense that these new characterizations are not true when (Formula presented.) and (Formula presented.). Moreover, in the endpoint case (Formula presented.), the authors also obtain some weak type estimates. Since these generalized Littlewood–Paley functions are of wide generality, these results provide some new choices for introducing the notions of fractional Sobolev spaces on metric measure spaces. © 2017 World Scientific Publishing Company | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Embargo Period 12 months | |||||
権利 | ||||||
権利情報 | Copyright © World Scientific Publishing Co. Pte Ltd | |||||
著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
関連URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | author | |||||
関連名称 | author |