一类同质型多项式混合相的傅立叶振荡积分算子的规范衰减率

IF 1.4 Q2 MATHEMATICS, APPLIED

Results in Applied Mathematics Pub Date : 2024-11-01 DOI:10.1016/j.rinam.2024.100513

Tuan Anh Pham , Nhat Huy Vu , Minh Tuan Nguyen

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引用次数: 0

摘要

本文提出了一种新方法，用于计算某些退化相的傅立叶振荡积分算子的 L2(R) 准则衰减率。特别是，本文得到了同质型多项式相位的傅立叶振荡积分算子的尖锐规范衰减率，以及一类非光滑多项式混合相位函数的傅立叶振荡积分算子的尖锐规范衰减率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases

This paper presents a new approach to the

L^{2} (R)

norm decay rates of the Fourier oscillatory integral operators for some classes of degenerate phases. In particular, the sharp norm decay rates of the Fourier oscillatory integral operators for homogeneous-type polynomial phases, and those for a class of nonsmooth polynomial hybrid phase functions are obtained.

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来源期刊

Results in Applied Mathematics Mathematics-Applied Mathematics

CiteScore

3.20

自引率

10.00%

发文量

审稿时长

23 days