{"title":"ℂn中积域上$${\\bar \\partial}$ 的超矩形估计值","authors":"Martino Fassina, Yi Fei Pan","doi":"10.1007/s10114-024-2463-0","DOIUrl":null,"url":null,"abstract":"<div><p>Using methods from complex analysis in one variable, we define an integral operator that solves <span>\\({\\bar \\partial}\\)</span> with supnorm estimates on product domains in ℂ<sup><i>n</i></sup>.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 10","pages":"2307 - 2323"},"PeriodicalIF":0.8000,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Supnorm Estimates for \\\\({\\\\bar \\\\partial}\\\\) on Product Domains in ℂn\",\"authors\":\"Martino Fassina, Yi Fei Pan\",\"doi\":\"10.1007/s10114-024-2463-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Using methods from complex analysis in one variable, we define an integral operator that solves <span>\\\\({\\\\bar \\\\partial}\\\\)</span> with supnorm estimates on product domains in ℂ<sup><i>n</i></sup>.</p></div>\",\"PeriodicalId\":50893,\"journal\":{\"name\":\"Acta Mathematica Sinica-English Series\",\"volume\":\"40 10\",\"pages\":\"2307 - 2323\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-07-18\",\"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/s10114-024-2463-0\",\"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/s10114-024-2463-0","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Supnorm Estimates for \({\bar \partial}\) on Product Domains in ℂn
Using methods from complex analysis in one variable, we define an integral operator that solves \({\bar \partial}\) with supnorm estimates on product domains in ℂn.
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.
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