多因素加权卡托-庞斯不等式

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

Sean Douglas, Loukas Grafakos

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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 $m$ 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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