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

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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.

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Acknowledgements

The author expresses deep gratitude to Loukas Grafakos and the referee for their invaluable contributions to the presentation of this paper. Additionally, heartfelt appreciation is extended to Brett Wick for proposing the intriguing problem discussed herein.

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  1. University of Missouri, Columbia, USA

    Sean Douglas

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  1. Sean Douglas
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Correspondence to Sean Douglas.

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Douglas, S. Kato–Ponce inequality with \(A_{\vec P}\) weights. Collect. Math. (2024). https://doi.org/10.1007/s13348-024-00434-y

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  • DOI: https://doi.org/10.1007/s13348-024-00434-y

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