论文标题
Mittag-Leffler函数的估计,取决于两个变量
Estimates for Mittag-Leffler functions with smooth phase depending on two variables
论文作者
论文摘要
在本文中,我们考虑了Mittag-Leffler功能的估计问题的问题,其平滑相位功能的平滑相位功能具有两个类型$ d _ {\ infty} $,$ d_ {4}^{\ pm} $和$ a_ {r} $的变量。概括是我们用Mittag-Leffler型函数替换指数函数,以研究振荡型积分。我们将纸的结果\ cite {ruzhansky}和\ cite {ruzhansky2021}扩展到二维积分,具有一些简单的奇异性。
In this paper we consider the problem on estimates for Mittag-Leffler functions with the smooth phase functions of two variables having singularities of type $D_{\infty} $, $D_{4}^{\pm}$ and $A_{r}$. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type integrals. We extend results of paper \cite{Ruzhansky} and \cite{Ruzhansky2021} to two-dimensional integrals with phase having some simple singularities.