{"title":"一类广义谐波映射的几个特性","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":"{\"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}","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}
Several Properties of a Class of Generalized Harmonic Mappings
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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