Sharp estimates for oscillatory integral operators via polynomial partitioning

IF 5.4 3区材料科学 Q2 CHEMISTRY, PHYSICAL

ACS Applied Energy Materials Pub Date : 2017-10-27 DOI:10.4310/acta.2019.v223.n2.a2

L. Guth, J. Hickman, Marina Iliopoulou

引用次数: 55

Abstract

The sharp range of $L^p$-estimates for the class of H\"ormander-type oscillatory integral operators is established in all dimensions under a positive-definite assumption on the phase. This is achieved by generalising a recent approach of the first author for studying the Fourier extension operator, which utilises polynomial partitioning arguments.

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基于多项式分划的振荡积分算子的尖锐估计

在相位的正定假设下，在所有维度上建立了一类H型振荡积分算子的$L^p$-估计的尖锐范围。这是通过推广第一作者最近研究傅立叶扩展算子的方法来实现的，该方法利用多项式划分自变量。

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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来源期刊

ACS Applied Energy Materials Materials Science-Materials Chemistry

CiteScore

10.30

自引率

6.20%

发文量

1368

期刊介绍： ACS Applied Energy Materials is an interdisciplinary journal publishing original research covering all aspects of materials, engineering, chemistry, physics and biology relevant to energy conversion and storage. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important energy applications.