Weighted decoupling estimates and the Bochner-Riesz means

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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Publication Details

Journal
Forum of Mathematics Sigma
Published
2025-01-01
DOI
https://doi.org/10.1017/fms.2024.96
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Weighted decoupling estimates and the Bochner-Riesz means

Jongchon Kim
Forum of Mathematics Sigma
Advanced Harmonic Analysis Research
article

Weighted decoupling estimates and the Bochner-Riesz means

Jongchon Kim
article en

Abstract

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.

Forum of Mathematics SigmaVol. 13
City University of Hong Kong (HK)
City University of Hong Kong
Openalex Percentile: Top 61%
Advanced Harmonic Analysis Research
DOIOpen Access PDFOpenAlex
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Weighted decoupling estimates and the Bochner-Riesz means — Jongchon Kim · Forum of Mathematics Sigma (2025) | TGRS Research Map | TGRS