A Weighted Maximal L_(2) Estimate of Operator-valued Bochner–Riesz Means  

作　　者：Guixiang Hong Liyuan Zhang 

机构地区：[1]Institute for Advanced Study in Mathematics,Harbin Institute of Technology,Harbin 150001,P.R.China [2]School of Mathematics and Statistics,Wuhan University,Wuhan 430072,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2025年第1期78-98,共21页数学学报(英文版)

基　　金：Supported by NSFC(Grant Nos.12071355,12325105,12031004,W2441002);Fundamental Research Funds for the Central Universities(Grant No.2042022kf1185)。

摘　　要：In this paper,we establish a weighted maximal L_(2) 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.

关 键 词：Noncommutative L_(p)-space noncommutative maximal norm Bochner–Riesz means 

分 类 号：O177[理学—数学]