首页|On the global L1-boundedness of Fourier integral operators with rough amplitude and phase functions
On the global L1-boundedness of Fourier integral operators with rough amplitude and phase functions
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LetTφ,abe 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∞ Smp and rough phase functions φ ∈ L∞Φ2 with some measure condition.We prove the global L1 boundedness for Tφ,a when 1/2＜p ≤ 1 and m＜p-n+1/2.Our theorem improves some known results.
Fourier integral operatorsL1-Boundednessrough amplituderough phase functions
Joachim Sindayigaya、WU Xiao-mei、HUANG Qiang
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School of Mathematics Sciences,Zhejiang Normal University,Jinhua 321004,China
College of Data Science,Jiaxing University,Jiaxing 314001,China
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