On Lp-boundedness of Fourier Integral Operators

被引：4
|
作者：
Yang, Jie [1 ]
Wang, Guangqing [2 ]
Chen, Wenyi [3 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Xinjiang 830046, Peoples R China
[2] Fuyang Normal Univ, Sch Math & Stat, Fuyang 236041, Anhui, Peoples R China
[3] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
来源：
POTENTIAL ANALYSIS | 2022年 / 57卷 / 02期
关键词：
Fourier integral operators; Rough amplitude; Phase function; Seeger-Sogge-Stein decomposition;
D O I：
10.1007/s11118-021-09910-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we get an L-p boundedness of Fourier integral operators with rough amplitude a is an element of (LSem)-S-infinity, and phase phi is an element of L-infinity Phi(2) for 1 <= p <= +infinity. This is an improvement of the corresponding results in Dos Santos Ferreira and Staubach (Mem. Amer. Math. Soc. 229, 1074, 2014).
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页码：167 / 179
页数：13
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