A Weighted Maximal L2 Estimate of Operator-valued Bochner-Riesz Means

被引：0
|
作者：
Hong, Guixiang [1 ]
Zhang, Liyuan [2 ]
机构：
[1] Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2025年 / 41卷 / 01期
关键词：
Noncommutative <italic>L</italic><italic>p</italic>-space; noncommutative maximal norm; Bochner-Riesz means; OSCILLATORY INTEGRALS; FOURIER MULTIPLIERS; HARMONIC-ANALYSIS; SPACES; SUMMABILITY; CONJECTURE;
D O I：
10.1007/s10114-025-3315-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a weighted maximal L2 estimate of operator-valued Bochner-Riesz means. The proof is based on noncommutative square function estimates and a sharp weighted noncommutative Hardy-Littlewood maximal inequality.
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页码：78 / 98
页数：21
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