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arXiv · 2406.03741

Weighted decoupling estimates and the Bochner-Riesz means

Jongchon Kim
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Abstract

We prove new weighted decoupling estimates. As an application, we give an improved sufficient condition for almost everywhere convergence of the Bochner-Riesz means of arbitrary $L^p$ functions for $1<p<2$ in dimensions 2 and 3.

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Jongchon Kim. 2024-06-06. Weighted decoupling estimates and the Bochner-Riesz means. https://doi.org/10.1017/fms.2024.96

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