{"title":"关于等腰梯形边界的准等边反射","authors":"A. Kushaeva, K. Kushaeva, S. Nasyrov","doi":"arxiv-2408.01821","DOIUrl":null,"url":null,"abstract":"We establish an upper estimate for the coefficient of quasiconformal\nreflection with respect to the boundary of an arbitrary isosceles trapezoid in\nterms of its geometric parameters; the estimate improve the result obtained in\nthe recent paper by S.~Nasyrov, T.~Sugawa and M.~Vuorinen.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"103 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasiconformal reflection with respect to the boundary of an isosceles trapezoid\",\"authors\":\"A. Kushaeva, K. Kushaeva, S. Nasyrov\",\"doi\":\"arxiv-2408.01821\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We establish an upper estimate for the coefficient of quasiconformal\\nreflection with respect to the boundary of an arbitrary isosceles trapezoid in\\nterms of its geometric parameters; the estimate improve the result obtained in\\nthe recent paper by S.~Nasyrov, T.~Sugawa and M.~Vuorinen.\",\"PeriodicalId\":501142,\"journal\":{\"name\":\"arXiv - MATH - Complex Variables\",\"volume\":\"103 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Complex Variables\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.01821\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Complex Variables","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.01821","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Quasiconformal reflection with respect to the boundary of an isosceles trapezoid
We establish an upper estimate for the coefficient of quasiconformal
reflection with respect to the boundary of an arbitrary isosceles trapezoid in
terms of its geometric parameters; the estimate improve the result obtained in
the recent paper by S.~Nasyrov, T.~Sugawa and M.~Vuorinen.