拟微分算子在Besov空间上的有界性
On the Boundedness of Pseudo-Differential Operators on Besov Spaces
DOI: 10.12677/AAM.2023.123086, PDF, HTML, 下载: 178  浏览: 243 
作者: 蔡士瑛：浙江师范大学数学系, 浙江 金华
关键词: 拟微分算子；HÖrmander类；Besov空间；Pseudo-Differential Operator； HÖrmander Class； Besov Space
摘要: 在本文我们考虑振幅a属于HÖrmander类时的拟微分算子Ta在Besov空间上的有界性. 对于0 ≤ ρ ≤ 1, p ≥ 1, 令如果且s > m − m0, 我们证明拟微分算子Ta是Besov空间到的有界算子. 这个结果推广了Stein的一个小结果.
Abstract: In this note, we consider the boundedness of the pseudo-differential operator Ta whose symbol a belongs to HÖrmander class on Besov spaces.Let 0 ≤ ρ ≤ 1, p ≥ 1 If and s > m − m0, then the pseudo-differential operator Ta is bounded from to . And our work is to generalize a result of Stein.
文章引用：蔡士瑛. 拟微分算子在Besov空间上的有界性[J]. 应用数学进展, 2023, 12(3): 837-846. https://doi.org/10.12677/AAM.2023.123086

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