{"title":"Several Properties of a Class of Generalized Harmonic Mappings","authors":"Bo-Yong Long, Qi-Han Wang","doi":"10.1007/s11785-024-01511-7","DOIUrl":null,"url":null,"abstract":"<p>We call the solution of a kind of second order homogeneous partial differential equation as real kernel <span>\\(\\alpha \\)</span>-harmonic mappings. In this paper, the representation theorem, the Lipschitz continuity, the univalency and the related problems of the real kernel <span>\\(\\alpha \\)</span>-harmonic mappings are explored.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11785-024-01511-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We call the solution of a kind of second order homogeneous partial differential equation as real kernel \(\alpha \)-harmonic mappings. In this paper, the representation theorem, the Lipschitz continuity, the univalency and the related problems of the real kernel \(\alpha \)-harmonic mappings are explored.
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