On the global L^(1)-boundedness of Fourier integral operators with rough amplitude and phase functions  

作　　者：Joachim Sindayigaya WU Xiao-mei HUANG Qiang 

机构地区：[1]School of Mathematics Sciences,Zhejiang Normal University,Jinhua 321004,China [2]College of Data Science,Jiaxing University,Jiaxing 314001,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2024年第4期604-613,共10页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(11801518);the Natural Science Foundation of Zhejiang Province(LQ18A010005);the Science Foundation of Zhejiang Education Department(Y201738640)。

摘　　要：Let T_(ϕ,a)be a Fourier integral operator with amplitude a and phase functions ϕ.In this paper,we study the boundedness of Fourier integral operator of rough amplitude a∈L^(∞)S_(ρ)^(m)and rough phase functionsϕ∈L^(m)ϕ^(2)with some measure condition.We prove the global L^(1)boundedness for T_(ϕ,a),when 1/<ρ≤1 and m<ρ-n+1/2.Our theorem improves some known results.

关 键 词：Fourier integral operators L1-Boundedness rough amplitude rough phase functions 

分 类 号：O177.6[理学—数学]