{"title":"Sharp bounds for the growth and distortion of the analytic part of convex K-quasiconformal harmonic mappings","authors":"Peijin Li, Saminathan Ponnusamy","doi":"10.1007/s00013-026-02227-0","DOIUrl":null,"url":null,"abstract":"<div><p>The main aim of this paper is to obtain the sharp upper and lower bounds for the growth and distortion of the analytic part <i>h</i> of sense-preserving convex <i>K</i>-quasiconformal harmonic mappings.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"126 4","pages":"407 - 416"},"PeriodicalIF":0.6000,"publicationDate":"2026-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archiv der Mathematik","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-026-02227-0","RegionNum":4,"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
The main aim of this paper is to obtain the sharp upper and lower bounds for the growth and distortion of the analytic part h of sense-preserving convex K-quasiconformal harmonic mappings.
期刊介绍:
Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.