{"title":"Pn 值全态曲线族的蒙特尔-卡拉瑟奥多里定理的改进","authors":"Gopal Datt","doi":"10.1080/17476933.2024.2310218","DOIUrl":null,"url":null,"abstract":"In this paper, we establish various sufficient conditions for a family of holomorphic mappings on a domain D⊆C into Pn to be normal. Our results are improvements to the Montel–Carathéodory Theorem ...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"39 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Improvements to the Montel–Carathéodory theorem for families of Pn-valued holomorphic curves\",\"authors\":\"Gopal Datt\",\"doi\":\"10.1080/17476933.2024.2310218\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we establish various sufficient conditions for a family of holomorphic mappings on a domain D⊆C into Pn to be normal. Our results are improvements to the Montel–Carathéodory Theorem ...\",\"PeriodicalId\":51229,\"journal\":{\"name\":\"Complex Variables and Elliptic Equations\",\"volume\":\"39 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-02-01\",\"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/10.1080/17476933.2024.2310218\",\"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/10.1080/17476933.2024.2310218","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Improvements to the Montel–Carathéodory theorem for families of Pn-valued holomorphic curves
In this paper, we establish various sufficient conditions for a family of holomorphic mappings on a domain D⊆C into Pn to be normal. Our results are improvements to the Montel–Carathéodory Theorem ...
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.
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