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L1 Boundedness of a class of rough Fourier integral operators |
Xiangrong ZHU, Yuchao MA( ) |
| School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China |
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Abstract In this note, we consider a class of Fourier integral operators with rough amplitudes and rough phases. When the index of symbols in some range, we prove that they are bounded on and construct an example to show that this result is sharp in some cases. This result is a generalization of the corresponding theorems of Kenig-Staubach and Dos Santos Ferreira-Staubach.
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Fourier integral operators
amplitude
phase
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Corresponding Author(s):
Yuchao MA
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Online First Date: 07 December 2023
Issue Date: 12 December 2023
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