{"title":"格鲁欣平面上的共形映射","authors":"Marcin Walicki","doi":"10.1080/17476933.2024.2355968","DOIUrl":null,"url":null,"abstract":"We study conformal mappings in the Grushin plane and provide a number of their characterizations in terms of Sobolev mappings and their geometry. Furthermore, we connect conformality on the Grushin...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"67 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Conformal mappings on the Grushin plane\",\"authors\":\"Marcin Walicki\",\"doi\":\"10.1080/17476933.2024.2355968\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study conformal mappings in the Grushin plane and provide a number of their characterizations in terms of Sobolev mappings and their geometry. Furthermore, we connect conformality on the Grushin...\",\"PeriodicalId\":51229,\"journal\":{\"name\":\"Complex Variables and Elliptic Equations\",\"volume\":\"67 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-05-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Variables and Elliptic Equations\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/17476933.2024.2355968\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Variables and Elliptic Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/17476933.2024.2355968","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
We study conformal mappings in the Grushin plane and provide a number of their characterizations in terms of Sobolev mappings and their geometry. Furthermore, we connect conformality on the Grushin...
期刊介绍:
Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds.
The Journal was formally published as Complex Variables Theory and Application.