{"title":"论某些域中映射的边界荷尔德对数连续性","authors":"O. Dovhopiatyi, E. Sevost’yanov","doi":"10.1007/s10474-024-01419-w","DOIUrl":null,"url":null,"abstract":"<div><p>We study mappings satisfying some estimate of distortion of\nmodulus of families of paths. Under some conditions on definition and mapped\ndomains, we prove that these mappings are logarithmic Hölder continuous at\nboundary points.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On boundary Hölder logarithmic continuity of mappings in some domains\",\"authors\":\"O. Dovhopiatyi, E. Sevost’yanov\",\"doi\":\"10.1007/s10474-024-01419-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We study mappings satisfying some estimate of distortion of\\nmodulus of families of paths. Under some conditions on definition and mapped\\ndomains, we prove that these mappings are logarithmic Hölder continuous at\\nboundary points.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-04-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10474-024-01419-w\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10474-024-01419-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On boundary Hölder logarithmic continuity of mappings in some domains
We study mappings satisfying some estimate of distortion of
modulus of families of paths. Under some conditions on definition and mapped
domains, we prove that these mappings are logarithmic Hölder continuous at
boundary points.
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