{"id":"https://openalex.org/W2039723643","doi":"https://doi.org/10.4171/rmi/372","title":"Mappings of finite distortion: Sharp Orlicz-conditions","display_name":"Mappings of finite distortion: Sharp Orlicz-conditions","publication_year":2003,"publication_date":"2003-12-31","ids":{"openalex":"https://openalex.org/W2039723643","doi":"https://doi.org/10.4171/rmi/372","mag":"2039723643"},"language":"en","primary_location":{"id":"doi:10.4171/rmi/372","doi":"https://doi.org/10.4171/rmi/372","is_oa":true,"landing_page_url":"https://doi.org/10.4171/rmi/372","pdf_url":"http://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=19&iss=3&rank=5","source":{"id":"https://openalex.org/S16719760","display_name":"Revista Matem\u00e1tica Iberoamericana","issn_l":"0213-2230","issn":["0213-2230","2235-0616"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-2","latindex","norway-2","oarl","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310321816","host_organization_name":"Royal Spanish Mathematical Society","host_organization_lineage":["https://openalex.org/P4310321816"],"host_organization_lineage_names":["Royal Spanish Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Revista Matem\u00e1tica Iberoamericana","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"http://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=19&iss=3&rank=5","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028407483","display_name":"Janne Kauhanen","orcid":"https://orcid.org/0000-0002-5844-4451","observed_orcids":["https://orcid.org/0000-0002-5844-4451"]},"institutions":[{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Janne Kauhanen","raw_affiliation_strings":["University of Jyv\u00e4skyl\u00e4, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018489148","display_name":"Pekka Koskela","orcid":"https://orcid.org/0000-0002-6253-1013","observed_orcids":["https://orcid.org/0000-0002-6253-1013"]},"institutions":[{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Pekka Koskela","raw_affiliation_strings":["University of Jyv\u00e4skyl\u00e4, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015545576","display_name":"Jan Mal\u00fd","orcid":"https://orcid.org/0000-0002-3615-9879","observed_orcids":["https://orcid.org/0000-0002-3615-9879"]},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jan Mal\u00fd","raw_affiliation_strings":["Charles University, Praha, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Charles University, Praha, Czech Republic","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064887197","display_name":"Jani Onninen","orcid":"https://orcid.org/0000-0002-9961-4808","observed_orcids":["https://orcid.org/0000-0002-9961-4808"]},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jani Onninen","raw_affiliation_strings":["Syracuse University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Syracuse University, USA","institution_ids":["https://openalex.org/I70983195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104088934","display_name":"Xiao Hong Zhong","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I94722563","display_name":"University of Jyv\u00e4skyl\u00e4","ror":"https://ror.org/05n3dz165","country_code":"FI","type":"education","lineage":["https://openalex.org/I94722563"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Xiao Zhong","raw_affiliation_strings":["University of Jyv\u00e4skyl\u00e4, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Jyv\u00e4skyl\u00e4, Finland","institution_ids":["https://openalex.org/I94722563"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.2851,"has_fulltext":true,"cited_by_count":73,"citation_normalized_percentile":{"value":0.98067104,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"19","issue":"3","first_page":"857","last_page":"872"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9643999934196472,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9643999934196472,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.00800000037997961,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.004999999888241291,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mappings-of-finite-distortion","display_name":"mappings of finite distortion","score":0.9980000257492065},{"id":"https://openalex.org/keywords/orlicz-spaces","display_name":"Orlicz spaces","score":0.8429999947547913},{"id":"https://openalex.org/keywords/continuity-of-mappings","display_name":"continuity of mappings","score":0.7310000061988831}],"concepts":[{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.7453346252441406},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5208145380020142},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37824469804763794},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3465411067008972},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24255850911140442},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09615251421928406},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.4171/rmi/372","doi":"https://doi.org/10.4171/rmi/372","is_oa":true,"landing_page_url":"https://doi.org/10.4171/rmi/372","pdf_url":"http://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=19&iss=3&rank=5","source":{"id":"https://openalex.org/S16719760","display_name":"Revista Matem\u00e1tica Iberoamericana","issn_l":"0213-2230","issn":["0213-2230","2235-0616"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-2","latindex","norway-2","oarl","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310321816","host_organization_name":"Royal Spanish Mathematical Society","host_organization_lineage":["https://openalex.org/P4310321816"],"host_organization_lineage_names":["Royal Spanish Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Revista Matem\u00e1tica Iberoamericana","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.rmi/1077293808","doi":null,"is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.rmi/1077293808","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:hispana.mcu.es:333048","doi":null,"is_oa":false,"landing_page_url":"https://hispana.mcu.es/es/registros/registro.do?tipoRegistro=MTD&idBib=333048","pdf_url":null,"source":{"id":"https://openalex.org/S4377196108","display_name":"Hispana","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Revista matem\u00e1tica iberoamericana, ISSN 0213-2230, Vol. 19, N\u00ba 3, 2003, pags. 857-872","raw_type":"text (article)"}],"best_oa_location":{"id":"doi:10.4171/rmi/372","doi":"https://doi.org/10.4171/rmi/372","is_oa":true,"landing_page_url":"https://doi.org/10.4171/rmi/372","pdf_url":"http://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=19&iss=3&rank=5","source":{"id":"https://openalex.org/S16719760","display_name":"Revista Matem\u00e1tica Iberoamericana","issn_l":"0213-2230","issn":["0213-2230","2235-0616"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-2","latindex","norway-2","oarl","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310321816","host_organization_name":"Royal Spanish Mathematical Society","host_organization_lineage":["https://openalex.org/P4310321816"],"host_organization_lineage_names":["Royal Spanish Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Revista Matem\u00e1tica Iberoamericana","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4525374409","display_name":"Theory of real functions and distributions","funder_award_id":"GA201/00/0767","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320309755","display_name":"Univerzita Karlova v Praze","ror":"https://ror.org/024d6js02"},{"id":"https://openalex.org/F4320309872","display_name":"Grantov\u00e1 Agentura, Univerzita Karlova","ror":"https://ror.org/024d6js02"},{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"},{"id":"https://openalex.org/F4320336420","display_name":"V\u00e4is\u00e4l\u00e4n Rahasto","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2039723643.pdf","grobid_xml":"https://content.openalex.org/works/W2039723643.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1578215794","https://openalex.org/W1979705132","https://openalex.org/W1991151839","https://openalex.org/W1991153170","https://openalex.org/W2024289723","https://openalex.org/W2027441805","https://openalex.org/W2314408107","https://openalex.org/W2793869493","https://openalex.org/W4236242570","https://openalex.org/W6631241670","https://openalex.org/W6634853314","https://openalex.org/W6814836897","https://openalex.org/W6825816119","https://openalex.org/W6837902837"],"related_works":["https://openalex.org/W2465914367","https://openalex.org/W2070341535","https://openalex.org/W1990769009","https://openalex.org/W2016309855","https://openalex.org/W1979327090","https://openalex.org/W1972345970","https://openalex.org/W3135870689","https://openalex.org/W1966061769","https://openalex.org/W2330006867","https://openalex.org/W2916111388"],"abstract_inverted_index":{"We":[0],"establish":[1],"continuity,":[2],"openness":[3],"and":[4,6],"discreteness,":[5],"the":[7,20],"condition":[8],"(N)":[9],"for":[10],"mappings":[11],"of":[12],"finite":[13],"distortion":[14],"under":[15],"minimal":[16],"integrability":[17],"assumptions":[18],"on":[19],"distortion.":[21]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":8}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}