Lp-bounds for Fourier integral operators on the torus

被引：0
|
作者：
Cardona, Duvan [1 ]
Messiouene, Rekia [2 ]
Senoussaoui, Abderrahmane [2 ]
机构：
[1] Univ Ghent, Dept Math Anal Log & Discrete Math, Ghent, Belgium
[2] Univ Oran1, Lab Math Fondamentales & Appl Oran LMFAO, Oran, Algeria
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2024年 / 69卷 / 02期
关键词：
LP-spaces; pseudo-differential operators; torus; Fourier integral operators; global analysis; WEAK-TYPE 1,1; PSEUDODIFFERENTIAL-OPERATORS;
D O I：
10.1080/17476933.2022.2124981
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the mapping properties of periodic Fourier integral operators in L-p(T-n)-spaces. The operators are considered associated to periodic symbols (with limited regularity) in the sense of Ruzhansky and Turunen.
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页码：252 / 269
页数：18
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