Weighted Kato–Ponce inequalities for multiple factors

Pub Date : 2024-07-22 DOI:10.1002/mana.202300443
Sean Douglas, Loukas Grafakos
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Abstract

In this paper, we establish a weighted Kato–Ponce inequality for m $m$ 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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多因素加权卡托-庞斯不等式
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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