{"title":"ASYMPTOTICS OF THE COEFFICIENT OF QUASICONFORMALITY, AND THE BOUNDARY BEHAVIOR OF A MAPPING OF A BALL","authors":"M. N. Pantyukhina","doi":"10.1070/SM1993V074N02ABEH003363","DOIUrl":null,"url":null,"abstract":"It is shown that if a quasiconformal automorphism of the unit ball in () has coefficient of quasiconformality in the ball of radius with asymptotic growth such that , then it has a radial limit at almost every point of the boundary. This asymptotic growth of is sharp in a certain sense.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1993V074N02ABEH003363","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
It is shown that if a quasiconformal automorphism of the unit ball in () has coefficient of quasiconformality in the ball of radius with asymptotic growth such that , then it has a radial limit at almost every point of the boundary. This asymptotic growth of is sharp in a certain sense.
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