$$ \mathbb{R} ^2$$ 上 Bochner-Riesz 型傅立叶乘法算子的加权不等式

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2023-12-11 DOI:10.1007/s10474-023-01390-y

S. Sato

引用次数: 0

摘要

我们考虑了在$ \mathbb{R} ^2$中的傅里叶乘法器，这些乘法器在某些曲线上具有奇异性，与 Bochner-Riesz 傅里叶乘法器密切相关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Weighted inequalities for Fourier multiplier operators of Bochner–Riesz type on $ \mathbb{R} ^2$

We consider Fourier multipliers in $ \mathbb{R} ^2$ with singularities on certain curves, which are closely related to the Bochner–Riesz Fourier multipliers. We prove weighted inequalities and vector valued inequalities for the Fourier multiplier operators which generalize some known results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.