{"created":"2025-02-21T03:50:10.591714+00:00","id":2007378,"links":{},"metadata":{"_buckets":{"deposit":"56e886d0-bce1-4443-b354-c4a64915883e"},"_deposit":{"created_by":41,"id":"2007378","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2007378"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02007378","sets":["1730444907710"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"Characterizations of hyperbolically convex regions","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kim, Seong-A","creatorNameLang":"en"}],"familyNames":[{"familyName":"Kim","familyNameLang":"en"}],"givenNames":[{"givenName":"Seong-A","givenNameLang":"en"}]},{"creatorNames":[{"creatorName":"Sugawa, Toshiyuki","creatorNameLang":"en"}],"familyNames":[{"familyName":"Sugawa","familyNameLang":"en"}],"givenNames":[{"givenName":"Toshiyuki","givenNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"Copyright (c) 2004 Elsevier Inc"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"Let X be a simply connected and hyperbolic subregion of the complex plane ℂ. A proper subregion Ω of X is called hyperbolically convex in X if for any two points A and B in Ω, the hyperbolic geodesic arc joining A and B in X is always contained in Ω. We establish a number of characterizations of hyperbolically convex regions Ω in X in terms of the relative hyperbolic density ρΩ (w) of the hyperbolic metric of Ω to X, that is the ratio of the hyperbolic metric λΩ (w) dw of Ω to the hyperbolic metric λX(w) dw of X. Introduction of hyperbolic differential operators on X makes calculations much simpler and gives analogous results to some known characterizations for euclidean or spherical convex regions. The notion of hyperbolic concavity relative to X for real-valued functions on Ω is also given to describe some sufficient conditions for hyperbolic convexity.","subitem_description_language":"en"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Elsevier Inc"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_source_identifier":"AA00252847","subitem_source_identifier_type":"NCID"},{"subitem_source_identifier":"0022-247X","subitem_source_identifier_type":"ISSN"}]},"item_1617187024783":{"attribute_name":"Page Start","attribute_value_mlt":[{"subitem_start_page":"37"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2005-09-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"51","bibliographicPageStart":"37","bibliographicVolumeNumber":"309","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematical Analysis and Applications"},{"bibliographic_title":"Journal of Mathematical Analysis and Applications"}]}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_b1a7d7d4d402bcce","subitem_version_type":"AO"}]},"item_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/j.jmaa.2004.12.008","subitem_relation_type_select":"DOI"}},{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://dx.doi.org/10.1016/j.jmaa.2004.12.008","subitem_relation_type_select":"DOI"}}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"JMAA_309_37.pdf","filesize":[{"value":"264.9 KB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2007378/files/JMAA_309_37.pdf"},"version_id":"c1e52b68-1b5f-4d69-9a83-56128aa95c05"}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"17232"},"item_title":"Characterizations of hyperbolically convex regions","item_type_id":"40003","owner":"41","path":["1730444907710"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-03-18"},"publish_date":"2023-03-18","publish_status":"0","recid":"2007378","relation_version_is_last":true,"title":["Characterizations of hyperbolically convex regions"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-21T09:49:06.953541+00:00"}