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arXiv · 2403.05017

A weighted decoupling inequality and its application to the maximal Bochner-Riesz problem

Shengwen Gan·Shukun Wu
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Abstract

We prove some weighted $L^p\ell^p$-decoupling estimates when $p=2n/(n-1)$. As an application, we give a result beyond the real interpolation exponents for the maximal Bochner-Riesz operator in $\mathbb{R}^3$. We also make an improvement in the planar case.

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Shengwen Gan, Shukun Wu. 2024-03-08. A weighted decoupling inequality and its application to the maximal Bochner-Riesz problem. https://arxiv.org/abs/2403.05017

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