加权解耦不等式及其在极大Bochner-Riesz问题中的应用

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-03-19 DOI:10.1016/j.jfa.2025.110943

Shengwen Gan , Shukun Wu

引用次数: 0

摘要

当p=2n/(n−1)时，我们证明了一些加权Lp - l_ - p-去耦估计。作为应用，我们给出了R3中最大Bochner-Riesz算子的一个超越实插值指数的结果。我们还对平面机箱进行了改进。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

We prove some weighted

L^{p} ℓ^{p}

-decoupling estimates when

p = 2 n / (n - 1)

. As an application, we give a result beyond the real interpolation exponents for the maximal Bochner-Riesz operator in

R^{3}

. We also make an improvement in the planar case.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis