On Lp-boundedness of Fourier Integral Operators

被引：5

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).

引用

页码：167 / 179

页数：13

共 13 条

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