Global $L^p$ continuity of Fourier integral operators
Global $L^p$ continuity of Fourier integral operators
复制标题
傅里叶积分算子的全局 $L^p$ 连续性
DOI：
10.1090/s0002-9947-2014-05911-4
复制
发表时间：
2014
影响因子：
1.3
通讯作者：
Coriasco S
中科院分区：
文献类型：
--
作者：
Coriasco S
本文建立了Fourier积分算子的整体正则性。对于在上有界的算子和从哈代空间到上有界的算子，确定了振幅衰减的阶数.这扩展了傅立叶积分算子的局部正则性，以及全局有界性的结果，到全局设置。在加权Sobolev空间中建立了整体有界性，并给出了它在双曲型偏微分方程中的应用。引用
In this paper we establish global-regularity properties of Fourier integral operators. The orders of decay of the amplitude are determined for operators to be bounded on,, as well as to be bounded from Hardy spaceto. This extends local-regularity properties of Fourier integral operators, as well as results of globalboundedness, to the global setting of. Global boundedness in weighted Sobolev spacesis also established, and applications to hyperbolic partial differential equations are given. References