{"id":"https://openalex.org/W39867712","doi":null,"title":"BOUNDARY CORRESPONDENCE UNDER HARMONIC QUASICONFORMAL HOMEOMORPHISMS OF THE UNIT DISK","display_name":"BOUNDARY CORRESPONDENCE UNDER HARMONIC QUASICONFORMAL HOMEOMORPHISMS OF THE UNIT DISK","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W39867712","mag":"39867712"},"language":"en","primary_location":{"id":"pmh:oai:journal.fi:article/135049","doi":null,"is_oa":true,"landing_page_url":"https://afm.journal.fi/article/view/135049","pdf_url":null,"source":{"id":"https://openalex.org/S4210177284","display_name":"Annales Fennici Mathematici","issn_l":"2737-0690","issn":["2737-0690","2737-114X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","ddh","dongbi-b","jufo-2","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310317049","host_organization_name":"Finnish Academy of Science and Letters","host_organization_lineage":["https://openalex.org/P4310317049"],"host_organization_lineage_names":["Finnish Academy of Science and Letters"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2737-0690","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://afm.journal.fi/article/view/135049","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027926575","display_name":"Miroslav Pavlovi\u0107","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Miroslav Pavlovi\u0107","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5027926575"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0943,"has_fulltext":false,"cited_by_count":94,"citation_normalized_percentile":{"value":0.6947556,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"27","issue":"2","first_page":"365","last_page":"372"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9984999895095825,"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":0.9984999895095825,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.00019999999494757503,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/quasiconformal-mappings","display_name":"quasiconformal mappings","score":0.8510000109672546},{"id":"https://openalex.org/keywords/unit-disk","display_name":"unit disk","score":0.7409999966621399},{"id":"https://openalex.org/keywords/boundary-correspondence","display_name":"boundary correspondence","score":0.9649999737739563},{"id":"https://openalex.org/keywords/bi-lipschitz-mappings","display_name":"bi-Lipschitz mappings","score":0.8180000185966492},{"id":"https://openalex.org/keywords/hilbert-transform","display_name":"Hilbert transform","score":0.824999988079071},{"id":"https://openalex.org/keywords/boundary-functions","display_name":"boundary functions","score":0.6299999952316284},{"id":"https://openalex.org/keywords/harmonic-maps","display_name":"harmonic maps","score":0.335999995470047}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.8084021210670471},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.7973354458808899},{"id":"https://openalex.org/C10728891","wikidata":"https://www.wikidata.org/wiki/Q584521","display_name":"Homeomorphism (graph theory)","level":2,"score":0.7203601598739624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7028282880783081},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6642519235610962},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.605846643447876},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5932056903839111},{"id":"https://openalex.org/C2988329120","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary values","level":3,"score":0.5689711570739746},{"id":"https://openalex.org/C627467","wikidata":"https://www.wikidata.org/wiki/Q599027","display_name":"Harmonic function","level":2,"score":0.567595362663269},{"id":"https://openalex.org/C128160136","wikidata":"https://www.wikidata.org/wiki/Q380576","display_name":"Quasiconformal mapping","level":2,"score":0.5504593849182129},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5086485147476196},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.4988517761230469},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.48815709352493286},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4876664876937866},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.418554425239563},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.20583540201187134},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18462851643562317},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1530188024044037},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13091930747032166},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:journal.fi:article/135049","doi":null,"is_oa":true,"landing_page_url":"https://afm.journal.fi/article/view/135049","pdf_url":null,"source":{"id":"https://openalex.org/S4210177284","display_name":"Annales Fennici Mathematici","issn_l":"2737-0690","issn":["2737-0690","2737-114X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","ddh","dongbi-b","jufo-2","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310317049","host_organization_name":"Finnish Academy of Science and Letters","host_organization_lineage":["https://openalex.org/P4310317049"],"host_organization_lineage_names":["Finnish Academy of Science and Letters"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2737-0690","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.493.6680","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.493.6680","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ethz.ch/EMIS/journals/AASF/Vol27/pavlovic.pdf","raw_type":"text"},{"id":"mag:39867712","doi":null,"is_oa":false,"landing_page_url":"https://www.emis.de/journals/AASF/Vol27/pavlovic.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S39277603","display_name":"Annales Academiae Scientiarum Fennicae Mathematica","issn_l":"1239-629X","issn":["1239-629X","1798-2383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20"],"host_organization":"https://openalex.org/P4310317049","host_organization_name":"Finnish Academy of Science and Letters","host_organization_lineage":["https://openalex.org/P4310317049"],"host_organization_lineage_names":["Finnish Academy of Science and Letters"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Annales Academiae Scientiarum Fennicae Mathematica","raw_type":null}],"best_oa_location":{"id":"pmh:oai:journal.fi:article/135049","doi":null,"is_oa":true,"landing_page_url":"https://afm.journal.fi/article/view/135049","pdf_url":null,"source":{"id":"https://openalex.org/S4210177284","display_name":"Annales Fennici Mathematici","issn_l":"2737-0690","issn":["2737-0690","2737-114X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","ddh","dongbi-b","jufo-2","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310317049","host_organization_name":"Finnish Academy of Science and Letters","host_organization_lineage":["https://openalex.org/P4310317049"],"host_organization_lineage_names":["Finnish Academy of Science and Letters"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2737-0690","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W82960903","https://openalex.org/W86492130","https://openalex.org/W637818779","https://openalex.org/W1561974326","https://openalex.org/W1988126813","https://openalex.org/W2037612300","https://openalex.org/W2038461858","https://openalex.org/W2084822343"],"related_works":["https://openalex.org/W1966789552","https://openalex.org/W2132455243","https://openalex.org/W2009751886","https://openalex.org/W2348653654","https://openalex.org/W153888461","https://openalex.org/W4229814484","https://openalex.org/W2153609707","https://openalex.org/W2387607593","https://openalex.org/W1970030081","https://openalex.org/W3174832008"],"abstract_inverted_index":{"Abstract.":[0],"Let":[1],"f":[2,19,23],"be":[3],"a":[4],"harmonic":[5],"homeomorphism":[6],"of":[7,40],"the":[8,27,31,37],"unit":[9],"disk":[10],"onto":[11],"itself.":[12],"The":[13],"following":[14],"conditions":[15],"are":[16],"equivalent:":[17],"(a)":[18],"is":[20,24,34,43],"quasiconformal;":[21],"(b)":[22],"bi-Lipschitz":[25,35],"in":[26,44],"Euclidean":[28],"metric;":[29],"(c)":[30],"boundary":[32],"function":[33],"and":[36],"Hilbert":[38],"transformation":[39],"its":[41],"derivative":[42],"L1.":[45],"1.":[46]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":13},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":4}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-06-24T00:00:00"}