\((2+1)\)维简并振荡积分算子的一些明显\(L^2 \rightarrow L^p\)衰减估计

IF 0.5 4区 数学 Q3 MATHEMATICS
Shaozhen Xu
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引用次数: 0

摘要

研究了以某类多项式相函数为特征的\((2+1)\) -维振荡积分算子。通过使用Stein的复插值,我们得到了这些算子的急剧\(L^2\rightarrow L^p\)衰减估计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Some sharp \(L^2 \rightarrow L^p\) decay estimates for \((2+1)\)-dimensional degenerate oscillatory integral operators

We investigate \((2+1)\)-dimensional oscillatory integral operators characterized by a certain class of polynomial phase functions. By employing Stein’s complex interpolation, we derive sharp \(L^2\rightarrow L^p\) decay estimates for these operators.

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来源期刊
Archiv der Mathematik
Archiv der Mathematik 数学-数学
CiteScore
1.10
自引率
0.00%
发文量
117
审稿时长
4-8 weeks
期刊介绍: Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.
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