{"id":"https://openalex.org/W2159034603","doi":"https://doi.org/10.1142/s0219199715500601","title":"Weil\u2013Petersson class non-overlapping mappings into a Riemann surface","display_name":"Weil\u2013Petersson class non-overlapping mappings into a Riemann surface","publication_year":2015,"publication_date":"2015-06-11","ids":{"openalex":"https://openalex.org/W2159034603","doi":"https://doi.org/10.1142/s0219199715500601","mag":"2159034603"},"language":"en","primary_location":{"id":"doi:10.1142/s0219199715500601","doi":"https://doi.org/10.1142/s0219199715500601","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219199715500601","pdf_url":null,"source":{"id":"https://openalex.org/S51811661","display_name":"Communications in Contemporary Mathematics","issn_l":"0219-1997","issn":["0219-1997","1793-6683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Contemporary Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.aalto.fi/en/publications/fb208f8a-468b-4d71-97b6-44fdf356cbb1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030553310","display_name":"David Radnell","orcid":"https://orcid.org/0000-0003-2147-4611","observed_orcids":["https://orcid.org/0000-0003-2147-4611"]},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"David Radnell","raw_affiliation_strings":["Department of Mathematics and Systems Analysis, Aalto University, P. O. Box 11100, FI-00076 Aalto, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Systems Analysis, Aalto University, P. O. Box 11100, FI-00076 Aalto, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032792879","display_name":"Eric Schippers","orcid":"https://orcid.org/0000-0001-8395-3509","observed_orcids":["https://orcid.org/0000-0001-8395-3509"]},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Eric Schippers","raw_affiliation_strings":["Department of Mathematics, University of Manitoba, Winnipeg, MB, Canada R3T 2N2, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Manitoba, Winnipeg, MB, Canada R3T 2N2, Canada","institution_ids":["https://openalex.org/I46247651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016010729","display_name":"Wolfgang Staubach","orcid":"https://orcid.org/0000-0001-8332-6302","observed_orcids":["https://orcid.org/0000-0001-8332-6302"]},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Wolfgang Staubach","raw_affiliation_strings":["Department of Mathematics, Uppsala University, P. O. Box 480, 751 06, Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Uppsala University, P. O. Box 480, 751 06, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.366,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.91456605,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"18","issue":"04","first_page":"1550060","last_page":"1550060"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9740999937057495,"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":0.9740999937057495,"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":0.00800000037997961,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.004699999932199717,"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/riemann-surfaces","display_name":"Riemann surfaces","score":0.6809999942779541},{"id":"https://openalex.org/keywords/punctured-riemann-surfaces","display_name":"punctured Riemann surfaces","score":0.8309999704360962},{"id":"https://openalex.org/keywords/conformal-mapping","display_name":"conformal mapping","score":0.6940000057220459},{"id":"https://openalex.org/keywords/quasiconformal-extension","display_name":"quasiconformal extension","score":0.847000002861023},{"id":"https://openalex.org/keywords/bergman-spaces","display_name":"Bergman spaces","score":0.996999979019165},{"id":"https://openalex.org/keywords/unit-disk","display_name":"unit disk","score":0.5410000085830688}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8695433139801025},{"id":"https://openalex.org/C18556879","wikidata":"https://www.wikidata.org/wiki/Q753035","display_name":"Riemann surface","level":2,"score":0.7062219381332397},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.6834332942962646},{"id":"https://openalex.org/C2781228216","wikidata":"https://www.wikidata.org/wiki/Q753035","display_name":"Compact Riemann surface","level":3,"score":0.6107048988342285},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.6015526056289673},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5914709568023682},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5385789275169373},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.5233615636825562},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5195181965827942},{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.5048297047615051},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.47992831468582153},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3286365270614624},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29049789905548096},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.17742052674293518},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1604185700416565},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219199715500601","doi":"https://doi.org/10.1142/s0219199715500601","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219199715500601","pdf_url":null,"source":{"id":"https://openalex.org/S51811661","display_name":"Communications in Contemporary Mathematics","issn_l":"0219-1997","issn":["0219-1997","1793-6683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Contemporary Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/107266","doi":null,"is_oa":true,"landing_page_url":"https://research.aalto.fi/en/publications/fb208f8a-468b-4d71-97b6-44fdf356cbb1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401662","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/107266","doi":null,"is_oa":true,"landing_page_url":"https://research.aalto.fi/en/publications/fb208f8a-468b-4d71-97b6-44fdf356cbb1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401662","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4099999964237213}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W640090457","https://openalex.org/W939706954","https://openalex.org/W1567156243","https://openalex.org/W1581093502","https://openalex.org/W1968598896","https://openalex.org/W1970223613","https://openalex.org/W1973000217","https://openalex.org/W1983693947","https://openalex.org/W1987299268","https://openalex.org/W1990930697","https://openalex.org/W1991196257","https://openalex.org/W1999425881","https://openalex.org/W2001296741","https://openalex.org/W2004708788","https://openalex.org/W2026135703","https://openalex.org/W2046501510","https://openalex.org/W2050196610","https://openalex.org/W2070130821","https://openalex.org/W2078594476","https://openalex.org/W2083126667","https://openalex.org/W2107079704","https://openalex.org/W2161244842","https://openalex.org/W2231541419","https://openalex.org/W2267395501","https://openalex.org/W2528696465","https://openalex.org/W2551535041","https://openalex.org/W2570329849","https://openalex.org/W2950666330","https://openalex.org/W2962761889","https://openalex.org/W2963212694","https://openalex.org/W3159824982","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2083061485","https://openalex.org/W2997842411","https://openalex.org/W2392707140","https://openalex.org/W2519255911","https://openalex.org/W2028320454","https://openalex.org/W2016617075","https://openalex.org/W2953139458","https://openalex.org/W2138492073","https://openalex.org/W2038269350","https://openalex.org/W1998008340"],"abstract_inverted_index":{"For":[0],"a":[1,38,89],"compact":[2],"Riemann":[3],"surface":[4],"of":[5,18,22,28,56,70,73,84],"genus":[6],"[Formula:":[7,11,19,25,34,50,58],"see":[8,12,20,26,35,51,59],"text]":[9,13,27,36,60],"with":[10],"punctures,":[14],"consider":[15],"the":[16,29,54,63,68,71,74,82],"class":[17,83],"text]-tuples":[21],"conformal":[23],"mappings":[24,87],"unit":[30],"disk":[31,75],"each":[32,57],"taking":[33],"to":[37,49],"puncture.":[39],"Assume":[40],"further":[41],"that":[42,81],"(1)":[43],"these":[44],"maps":[45],"are":[46],"quasiconformally":[47],"extendible":[48],"text],":[52],"(2)":[53],"pre-Schwarzian":[55],"is":[61,88],"in":[62],"Bergman":[64],"space,":[65],"and":[66],"(3)":[67],"images":[69],"closures":[72],"do":[76],"not":[77],"intersect.":[78],"We":[79],"show":[80],"such":[85],"non-overlapping":[86],"complex":[90],"Hilbert":[91],"manifold.":[92]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}