{"_buckets": {"deposit": "fbb6f352-7700-41ba-8fad-a995c879a1bd"}, "_deposit": {"id": "40023", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "40023"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00040023"}, "item_4_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2012-10-22", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "3", "bibliographicPageEnd": "407", "bibliographicPageStart": "359", "bibliographicVolumeNumber": "19", "bibliographic_titles": [{"bibliographic_title": "Journal of mathematical sciences, the University of Tokyo"}]}]}, "item_4_description_5": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "This note consists of two parts. In the first part we consider the behavior of R-boundedness, R-sectoriality, and property(\u03b1) under the interpolation of Banach spaces. In a general setting we prove that for interpolation functors of type h the R-boundedness, the R-sectoriality, and the property(\u03b1) preserve under interpolation. In particular, this is true for the standard real and complex interpolation methods. (Partly, these results were indicated in [12], however, with just a very brief outline of their proofs.) The second part represents an application of the first part. We prove R-sectoriality, or equivalently, maximal Lp-regularity for a general class of parabolic systems on interpolation spaces including scales of Besov- and Bessel-potential spaces over Rn.", "subitem_description_type": "Abstract"}]}, "item_4_publisher_20": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "attribute_value_mlt": [{"subitem_source_identifier": "AA11021653", "subitem_source_identifier_type": "NCID"}]}, "item_4_source_id_8": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "13405705", "subitem_source_identifier_type": "ISSN"}]}, "item_4_subject_15": {"attribute_name": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "attribute_value_mlt": [{"subitem_subject": "415", "subitem_subject_scheme": "NDC"}]}, "item_4_text_16": {"attribute_name": "Mathematical Reviews Number", "attribute_value_mlt": [{"subitem_text_value": "MR"}]}, "item_4_text_17": {"attribute_name": "Mathmatical Subject Classification", "attribute_value_mlt": [{"subitem_text_value": "46B70(MSC2010)"}, {"subitem_text_value": "47F05(MSC2010)"}, {"subitem_text_value": "35K41(MSC2010)"}, {"subitem_text_value": "35K46(MSC2010)"}]}, "item_4_text_33": {"attribute_name": "\u539f\u7a3f\u53d7\u9818\u65e5", "attribute_value_mlt": [{"subitem_text_value": "2012-04-06"}]}, "item_4_text_34": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_4_text_4": {"attribute_name": "\u8457\u8005\u6240\u5c5e", "attribute_value_mlt": [{"subitem_text_value": "Department of Mathematics, University of Konstanz"}, {"subitem_text_value": "Center of Smart Interfaces, TU Darmstadt"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Kaip, Mario"}], "nameIdentifiers": [{"nameIdentifier": "92465", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Saal, J\u00fcrgen"}], "nameIdentifiers": [{"nameIdentifier": "92466", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-14"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms190306.pdf", "filesize": [{"value": "347.2 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 347200.0, "url": {"label": "jms190306.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/40023/files/jms190306.pdf"}, "version_id": "64536542-f090-4324-b251-1e023ec7d0ef"}]}, "item_keyword": {"attribute_name": "\u30ad\u30fc\u30ef\u30fc\u30c9", "attribute_value_mlt": [{"subitem_subject": "Interpolation", "subitem_subject_scheme": "Other"}, {"subitem_subject": "R-boundedness", "subitem_subject_scheme": "Other"}, {"subitem_subject": "maximal regularity", "subitem_subject_scheme": "Other"}, {"subitem_subject": "parabolic systems", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "The permanence of R-boundedness and property(\u03b1) under interpolation and applications to parabolic systems", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "The permanence of R-boundedness and property(\u03b1) under interpolation and applications to parabolic systems"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6865/6899/6903", "9/504/6868/6901/6904"], "permalink_uri": "http://hdl.handle.net/2261/55431", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2013-10-23"}, "publish_date": "2013-10-23", "publish_status": "0", "recid": "40023", "relation": {}, "relation_version_is_last": true, "title": ["The permanence of R-boundedness and property(\u03b1) under interpolation and applications to parabolic systems"], "weko_shared_id": null}