摘要
Let T_(a,φ)be a Fourier integral operator defined by the oscillatory integral T_(a,φ)u(x)=1/(2π)^(n)∫_(R^(n))^e^(iφ(x,ξ))a(x,ξ)(u)(ξ)dξ,where a∈S_(e,δ)^(m)andφ∈Φ^(2),satisfying the strong non-degenerate condition.It is shown that if0<(e)≤1,0≤δ<1 and m≤e^(2)-n/2,thenT_(α,φ)is a bounded operator from L^(∞()R^(n))to BMO(R^(n)).
作者
Guangqing WANG
Jie YANG
Wenyi CHEN
王光庆;杨杰;陈文艺(School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China;College of Mathematics and System Science,Xinjiang University,Xinjiang 830046,China)
作者简介
王光庆,E-mail:2017102010002@whu.edu.cn;Corresponding author:杨杰,E-mail:yangjie1106@xju.edu.cn;陈文艺,E-mail:wychencn@whu.edu.cn。
