Kato–Ponce inequality with $$A_{\vec P}$$ weights

IF 0.7 2区数学 Q2 MATHEMATICS

Collectanea Mathematica Pub Date : 2024-03-25 DOI:10.1007/s13348-024-00434-y

Sean Douglas

引用次数: 0

Abstract

We prove the Kato–Ponce inequality (fractional normed Leibniz rule) for multiple factors in the setting of multiple weights ($A_{\vec P}$ weights). This improves existing results to the product of m factors and extends the class of known weights for which the inequality holds.

查看原文本刊更多论文

带有 $$A_{\vec P}$ 权重的卡托-庞斯不等式

我们证明了多重权重（$A_{\vec P}$ 权重）设置下的多重因子卡托-庞斯不等式（分数规范莱布尼兹规则）。这将现有结果改进为 m 个因子的乘积，并扩展了不等式成立的已知权重类别。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Collectanea Mathematica 数学-数学

CiteScore

2.70

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： Collectanea Mathematica publishes original research peer reviewed papers of high quality in all fields of pure and applied mathematics. It is an international journal of the University of Barcelona and the oldest mathematical journal in Spain. It was founded in 1948 by José M. Orts. Previously self-published by the Institut de Matemàtica (IMUB) of the Universitat de Barcelona, as of 2011 it is published by Springer.