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On L p -boundedness of Fourier Integral Operators
Potential Analysis ( IF 1.0 ) Pub Date : 2021-03-04 , DOI: 10.1007/s11118-021-09910-7 Jie Yang , Guangqing Wang , Wenyi Chen
中文翻译:
傅里叶积分算子的L p有界性
更新日期:2021-03-04
Potential Analysis ( IF 1.0 ) Pub Date : 2021-03-04 , DOI: 10.1007/s11118-021-09910-7 Jie Yang , Guangqing Wang , Wenyi Chen
In this paper, we get an Lp boundedness of Fourier integral operators with rough amplitude \(a\in L^{\infty } S^{m}_{\varrho },~\) and phase \(\varphi \in L^{\infty }{\Phi }^{2}\) for \(1\leq p\leq +\infty \). This is an improvement of the corresponding results in Dos Santos Ferreira and Staubach (Mem. Amer. Math. Soc. 229, 1074, 2014).
中文翻译:
傅里叶积分算子的L p有界性
在本文中,我们得到一个大号p粗糙振幅傅立叶积分算有界\(在L ^ {\ infty}Š^ {米} _ {\ varrho},〜\一\)和相位\(\ varphi \在L ^ {\ infty} {\ Phi} ^ {2} \)表示\(1 \ leq p \ leq + \ infty \)。这是在多斯桑托斯费雷拉和Staubach相应结果的改善(MEM中。阿梅尔。数学。SOC。229,1074,2014)。