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Weighted decoupling estimates and the Bochner-Riesz means

Published 6 Jun 2024 in math.CA | (2406.03741v1)

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 $Lp$ functions for $1<p<2$ in dimensions 2 and 3.

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