某个双线性傅里叶积分算子的估计值

IF 0.9 3区数学 Q2 MATHEMATICS

Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-08-05 DOI:10.1007/s11868-024-00631-0

Tomoya Kato, Akihiko Miyachi, Naohito Tomita

{"title":"某个双线性傅里叶积分算子的估计值","authors":"Tomoya Kato, Akihiko Miyachi, Naohito Tomita","doi":"10.1007/s11868-024-00631-0","DOIUrl":null,"url":null,"abstract":"The boundedness of bilinear Fourier integral operators with certain non-degenerate phase functions is proved, which is a bilinear version of Seeger, Sogge, and Stein’s theorem concerning the \\(L^p\\) boundedness of Fourier integral operators. Our result gives an improvement of the result of Rodríguez-López, Rule, and Staubach proved in 2014.","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Estimates for a certain bilinear Fourier integral operator\",\"authors\":\"Tomoya Kato, Akihiko Miyachi, Naohito Tomita\",\"doi\":\"10.1007/s11868-024-00631-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The boundedness of bilinear Fourier integral operators with certain non-degenerate phase functions is proved, which is a bilinear version of Seeger, Sogge, and Stein’s theorem concerning the \\\\(L^p\\\\) boundedness of Fourier integral operators. Our result gives an improvement of the result of Rodríguez-López, Rule, and Staubach proved in 2014.\",\"PeriodicalId\":48793,\"journal\":{\"name\":\"Journal of Pseudo-Differential Operators and Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Pseudo-Differential Operators and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11868-024-00631-0\",\"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":"Journal of Pseudo-Differential Operators and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11868-024-00631-0","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

证明了具有某些非退化相函数的双线性傅里叶积分算子的有界性，这是 Seeger、Sogge 和 Stein 关于傅里叶积分算子的 \(L^p\) 有界性定理的双线性版本。我们的结果改进了罗德里格斯-洛佩斯、鲁尔和斯托巴赫在 2014 年证明的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Estimates for a certain bilinear Fourier integral operator

The boundedness of bilinear Fourier integral operators with certain non-degenerate phase functions is proved, which is a bilinear version of Seeger, Sogge, and Stein’s theorem concerning the \(L^p\) boundedness of Fourier integral operators. Our result gives an improvement of the result of Rodríguez-López, Rule, and Staubach proved in 2014.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Pseudo-Differential Operators and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.20

自引率

9.10%

发文量

期刊介绍： The Journal of Pseudo-Differential Operators and Applications is a forum for high quality papers in the mathematics, applications and numerical analysis of pseudo-differential operators. Pseudo-differential operators are understood in a very broad sense embracing but not limited to harmonic analysis, functional analysis, operator theory and algebras, partial differential equations, geometry, mathematical physics and novel applications in engineering, geophysics and medical sciences.