{"title":"Boundedness of multilinear pseudo-differential operators with $$S_{0,0}$$ class symbols on Besov spaces","authors":"Naoto Shida","doi":"10.1007/s11868-023-00579-7","DOIUrl":null,"url":null,"abstract":"<p>We consider multilinear pseudo-differential operators with symbols in the multilinear Hörmander class <span>\\(S_{0, 0}\\)</span>. The aim of this paper is to discuss the boundedness of these operators in the settings of Besov spaces.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2024-01-16","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/s11868-023-00579-7","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
We consider multilinear pseudo-differential operators with symbols in the multilinear Hörmander class \(S_{0, 0}\). The aim of this paper is to discuss the boundedness of these operators in the settings of Besov spaces.
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.