Two weight estimates for $L^{r}$-Hörmander singular integral operators and rough singular integral operators with matrix weights

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2024-02-27 DOI:10.1007/s43034-024-00326-z

Yongming Wen, Wenting Hu, Fuli Ku

引用次数: 0

Abstract

In this paper, we give new bump conditions for two matrix weight inequalities of $L^{r}$-Hörmander singular integral operators and rough singular integral operators, which are new even in the scalar cases. As applications, we obtain quantitative one weight inequalities for rough singular integral operators.

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带矩阵权重的 $$L^{r}$$ - 赫尔曼德奇异积分算子和粗糙奇异积分算子的两个权重估计值

本文给出了 $L^{r}$-Hörmander 奇异积分算子和粗糙奇异积分算子的两个矩阵权重不等式的新碰撞条件，即使在标量情况下也是新的。作为应用，我们得到了粗糙奇异积分算子的定量一重不等式。

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

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.

Two weight estimates for \(L^{r}\)-Hörmander singular integral operators and rough singular integral operators with matrix weights

Abstract