论文标题
塔塔鲁色散估计值的替代证明
An alternative proof of Tataru's dispersive estimates
论文作者
论文摘要
本文的目的是为双曲线空间中提出的波动方程式提供tataru的分散估计的替代证明。基于\ cite {MR2743652}在双曲空间上的波核的公式，我们通过利用有关伽马功能，改良的贝塞尔功能和贝塞尔电位的各种范围来从贝塞尔电位的角度提供证明。这导致我们的证明比tataru \ cite {MR1804518}中更独立。
The aim of this article is to give an alternative proof of Tataru's dispersive estimates for wave equations posed on the hyperbolic space. Based on the formula for the wave kernel on hyperbolic spaces, in \cite{MR2743652}, we give the proof from the perspective of Bessel potentials, by exploiting various facts about Gamma functions, modified Bessel functions, and Bessel potentials. This leads to our proof being more self-contained than that in Tataru \cite{MR1804518}.
