多因素加权卡托-庞斯不等式

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2024-07-22 DOI:10.1002/mana.202300443

Sean Douglas, Loukas Grafakos

引用次数: 0

摘要

在本文中，我们建立了端点情况下因子的加权卡托-庞斯不等式。此外，我们还将 Kato-Ponce 不等式的有效性从施瓦茨函数类扩展到生活在（加权）分数索波列夫空间中的更广泛的函数类。

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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Weighted Kato–Ponce inequalities for multiple factors

In this paper, we establish a weighted Kato–Ponce inequality for factors in the endpoint case. Furthermore, we extend the validity of the Kato–Ponce inequality from the class of Schwartz functions to the broader class of functions living in a (weighted) fractional Sobolev space.

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index