Global LP-Boundedness of Rough Fourier Integral Operators

被引：0

作者：

Sindayigaya, Joachim ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Fourier integral operators; Lp-boundedness; rough amplitude; rough phase function; PSEUDODIFFERENTIAL-OPERATORS;

D O I：

10.1007/s00009-023-02448-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the L-p-boundedness of Fourier integral operators T-f,T-a with rough amplitude and phase function, which satisfies the new class of rough non-degeneracy condition. In this study, under the conditions a ? (LS?m)-S-8, f ? (LF2)-F-8 and when 1-(d)/(2) ? = 1, we show that T-f,T-a is bounded from L(p )to itself for p E [1, oo] with some measure conditions on m. Our main results extend and improve some known results about L-p-boundedness of Fourier integral operators.

引用

页数：15

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