{"title":"\\((2+1)\\)维简并振荡积分算子的一些明显\\(L^2 \\rightarrow L^p\\)衰减估计","authors":"Shaozhen Xu","doi":"10.1007/s00013-025-02104-2","DOIUrl":null,"url":null,"abstract":"<div><p>We investigate <span>\\((2+1)\\)</span>-dimensional oscillatory integral operators characterized by a certain class of polynomial phase functions. By employing Stein’s complex interpolation, we derive sharp <span>\\(L^2\\rightarrow L^p\\)</span> decay estimates for these operators.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"124 5","pages":"535 - 543"},"PeriodicalIF":0.5000,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some sharp \\\\(L^2 \\\\rightarrow L^p\\\\) decay estimates for \\\\((2+1)\\\\)-dimensional degenerate oscillatory integral operators\",\"authors\":\"Shaozhen Xu\",\"doi\":\"10.1007/s00013-025-02104-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We investigate <span>\\\\((2+1)\\\\)</span>-dimensional oscillatory integral operators characterized by a certain class of polynomial phase functions. By employing Stein’s complex interpolation, we derive sharp <span>\\\\(L^2\\\\rightarrow L^p\\\\)</span> decay estimates for these operators.</p></div>\",\"PeriodicalId\":8346,\"journal\":{\"name\":\"Archiv der Mathematik\",\"volume\":\"124 5\",\"pages\":\"535 - 543\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2025-02-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archiv der Mathematik\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00013-025-02104-2\",\"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":"Archiv der Mathematik","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-025-02104-2","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Some sharp \(L^2 \rightarrow L^p\) decay estimates for \((2+1)\)-dimensional degenerate oscillatory integral operators
We investigate \((2+1)\)-dimensional oscillatory integral operators characterized by a certain class of polynomial phase functions. By employing Stein’s complex interpolation, we derive sharp \(L^2\rightarrow L^p\) decay estimates for these operators.
期刊介绍:
Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.