{"title":"a调和函数的几何性质","authors":"Shokhrukh Khursanov","doi":"10.56017/2181-1318.1099","DOIUrl":null,"url":null,"abstract":"This paper is devoted to geometric properties of A(z)-harmonic functions and the corresponding Laplace operator ∆Au. It is proved that the generalized A(z)-harmonic function is generated by the usual A(z)harmonic function.","PeriodicalId":127023,"journal":{"name":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Geometric properties of A-harmonic functions\",\"authors\":\"Shokhrukh Khursanov\",\"doi\":\"10.56017/2181-1318.1099\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is devoted to geometric properties of A(z)-harmonic functions and the corresponding Laplace operator ∆Au. It is proved that the generalized A(z)-harmonic function is generated by the usual A(z)harmonic function.\",\"PeriodicalId\":127023,\"journal\":{\"name\":\"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56017/2181-1318.1099\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56017/2181-1318.1099","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper is devoted to geometric properties of A(z)-harmonic functions and the corresponding Laplace operator ∆Au. It is proved that the generalized A(z)-harmonic function is generated by the usual A(z)harmonic function.