{"title":"关于Stein-Tomas型约束定理的一个注解","authors":"Xiaochun Li","doi":"10.1007/s10114-025-3525-7","DOIUrl":null,"url":null,"abstract":"<div><p>A local <i>L</i><sup><i>p</i></sup> estimate is proved by using the <i>σ</i>-uniformity, which is motivated by the study of the Stein–Tomas type restriction theorems and Waring’s problem.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"41 1","pages":"122 - 130"},"PeriodicalIF":0.8000,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Remark on Stein–Tomas Type Restriction Theorems\",\"authors\":\"Xiaochun Li\",\"doi\":\"10.1007/s10114-025-3525-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A local <i>L</i><sup><i>p</i></sup> estimate is proved by using the <i>σ</i>-uniformity, which is motivated by the study of the Stein–Tomas type restriction theorems and Waring’s problem.</p></div>\",\"PeriodicalId\":50893,\"journal\":{\"name\":\"Acta Mathematica Sinica-English Series\",\"volume\":\"41 1\",\"pages\":\"122 - 130\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2025-01-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mathematica Sinica-English Series\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10114-025-3525-7\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Sinica-English Series","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10114-025-3525-7","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
A local Lp estimate is proved by using the σ-uniformity, which is motivated by the study of the Stein–Tomas type restriction theorems and Waring’s problem.
期刊介绍:
Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.