{"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":"<p>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 <span>\\(L^p\\)</span> boundedness of Fourier integral operators. Our result gives an improvement of the result of Rodríguez-López, Rule, and Staubach proved in 2014.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":"36 1","pages":""},"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}
引用次数: 0
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.
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.
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