{"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":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"499 - 512"},"PeriodicalIF":0.6000,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Hungarica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10474-024-01419-w","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
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.
期刊介绍：
Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.
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