{"id":"https://openalex.org/W2158647131","doi":"https://doi.org/10.1112/jlms/jdu043","title":"Distortion of quasiconformal mappings with identity boundary values","display_name":"Distortion of quasiconformal mappings with identity boundary values","publication_year":2014,"publication_date":"2014-08-25","ids":{"openalex":"https://openalex.org/W2158647131","doi":"https://doi.org/10.1112/jlms/jdu043","mag":"2158647131"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jdu043","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdu043","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082146003","display_name":"\u041c\u0430\u0442\u0442\u0438 \u0412\u0443\u043e\u0440\u0438\u043d\u0435\u043d","orcid":"https://orcid.org/0000-0002-1734-8228"},"institutions":[{"id":"https://openalex.org/I155660961","display_name":"University of Turku","ror":"https://ror.org/05vghhr25","country_code":"FI","type":"education","lineage":["https://openalex.org/I155660961"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Matti Vuorinen","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Turku, 20014 Turku, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Turku, 20014 Turku, Finland","institution_ids":["https://openalex.org/I155660961"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108450938","display_name":"Xiaohui Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I175532246","display_name":"University of Eastern Finland","ror":"https://ror.org/00cyydd11","country_code":"FI","type":"education","lineage":["https://openalex.org/I175532246"]},{"id":"https://openalex.org/I155660961","display_name":"University of Turku","ror":"https://ror.org/05vghhr25","country_code":"FI","type":"education","lineage":["https://openalex.org/I155660961"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Xiaohui Zhang","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Turku, 20014 Turku, Finland, Current address:, Department of Physics and Mathematics, University of Eastern Finland, 80100 Joensuu, Finland, quasi.xhzhang@gmail.com"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Turku, 20014 Turku, Finland, Current address:, Department of Physics and Mathematics, University of Eastern Finland, 80100 Joensuu, Finland, quasi.xhzhang@gmail.com","institution_ids":["https://openalex.org/I155660961","https://openalex.org/I175532246"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082146003"],"corresponding_institution_ids":["https://openalex.org/I155660961"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":1.3926,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.81086601,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"90","issue":"3","first_page":"637","last_page":"653"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9998999834060669,"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":0.9998999834060669,"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/T13335","display_name":"Pharmacological Effects of Medicinal Plants","score":0.9455000162124634,"subfield":{"id":"https://openalex.org/subfields/2736","display_name":"Pharmacology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.9110999703407288,"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/mathematics","display_name":"Mathematics","score":0.7874784469604492},{"id":"https://openalex.org/keywords/quasiconformal-mapping","display_name":"Quasiconformal mapping","score":0.7750221490859985},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.6807212829589844},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6353766918182373},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5834696888923645},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5810465812683105},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.471749871969223},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45997145771980286},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.44337376952171326},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.42462727427482605},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.4161771535873413},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22324872016906738},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07925108075141907}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7874784469604492},{"id":"https://openalex.org/C128160136","wikidata":"https://www.wikidata.org/wiki/Q380576","display_name":"Quasiconformal mapping","level":2,"score":0.7750221490859985},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.6807212829589844},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6353766918182373},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5834696888923645},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5810465812683105},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.471749871969223},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45997145771980286},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.44337376952171326},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.42462727427482605},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.4161771535873413},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22324872016906738},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07925108075141907},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.0},{"id":"https://openalex.org/C46362747","wikidata":"https://www.wikidata.org/wiki/Q173431","display_name":"CMOS","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1112/jlms/jdu043","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdu043","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W38176508","https://openalex.org/W77411352","https://openalex.org/W126337060","https://openalex.org/W616538675","https://openalex.org/W658266689","https://openalex.org/W1491751692","https://openalex.org/W1502669108","https://openalex.org/W1551913294","https://openalex.org/W1553738528","https://openalex.org/W1897498778","https://openalex.org/W1965593346","https://openalex.org/W1978601573","https://openalex.org/W1979873835","https://openalex.org/W1981895701","https://openalex.org/W1988113160","https://openalex.org/W1994597524","https://openalex.org/W2025365313","https://openalex.org/W2048446778","https://openalex.org/W2055310783","https://openalex.org/W2055328636","https://openalex.org/W2070005228","https://openalex.org/W2078755009","https://openalex.org/W2081443534","https://openalex.org/W2084067098","https://openalex.org/W2084916367","https://openalex.org/W2120069340","https://openalex.org/W2150756962","https://openalex.org/W2265843880","https://openalex.org/W2289396218","https://openalex.org/W2315245066","https://openalex.org/W2325627967","https://openalex.org/W3099161129","https://openalex.org/W3101380782","https://openalex.org/W4206276135","https://openalex.org/W4238539467","https://openalex.org/W4255867766","https://openalex.org/W4293217885","https://openalex.org/W6605086882","https://openalex.org/W6656734178","https://openalex.org/W6696138593","https://openalex.org/W6785358069"],"related_works":["https://openalex.org/W2140020064","https://openalex.org/W143502885","https://openalex.org/W42113618","https://openalex.org/W2103468410","https://openalex.org/W1856228368","https://openalex.org/W3197542402","https://openalex.org/W2971527398","https://openalex.org/W2645958880","https://openalex.org/W1025150868","https://openalex.org/W2388075379"],"abstract_inverted_index":{"Teichm\u00fcller's":[0,75],"classical":[1],"mapping":[2],"problem":[3,76,130],"for":[4,12,123],"plane":[5],"domains":[6,141,143],"concerns":[7],"finding":[8],"a":[9,17,33,47,81,88,103],"lower":[10,104],"bound":[11,105],"the":[13,22,27,37,44,60,97,109,124],"maximal":[14,98],"dilatation":[15,99],"of":[16,36,43,62,66,84,100,108,111],"quasiconformal":[18],"homeomorphism":[19],"which":[20],"holds":[21],"boundary":[23,72],"pointwise":[24],"fixed,":[25],"maps":[26,32,65],"domain":[28,38,48],"onto":[29,68],"itself":[30,69],"and":[31,74,87,113,127,142],"given":[34,41],"point":[35,42,89],"to":[39],"another":[40],"domain.":[45],"For":[46,136],"D":[49,67,92],"\u2282":[50],"R":[51],"n":[52,54],",":[53,57,93],"\u2a7e":[55],"2":[56],"we":[58,94],"consider":[59,128],"class":[61,86],"all":[63],"K-quasiconformal":[64],"with":[70,144],"identity":[71],"values":[73],"in":[77,106,131],"this":[78,85,129],"context.":[79],"Given":[80],"map":[82],"f":[83,101,114],"x":[90,112,116],"\u2208":[91],"show":[95],"that":[96],"has":[102],"terms":[107],"distance":[110],"(":[115],")":[117],".":[118],"We":[119],"improve":[120],"recent":[121],"results":[122],"unit":[125],"ball":[126],"other":[132],"more":[133],"general":[134],"domains.":[135],"instance,":[137],"convex":[138],"domains,":[139],"bounded":[140],"uniformly":[145],"perfect":[146],"boundaries":[147],"are":[148],"studied.":[149]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}