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

Guixiang Hong; Liyuan Zhang

doi:10.1007/s10114-025-3315-2

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

Guixiang Hong^*
, Liyuan Zhang

^*Corresponding author for this work

School of Mathematics

Wuhan University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	78-98
Number of pages	21
Journal	Acta Mathematica Sinica, English Series
Volume	41
Issue number	1
DOIs	https://doi.org/10.1007/s10114-025-3315-2
State	Published - Jan 2025

Keywords

42B20
42B30
46E30
Bochner–Riesz means
Noncommutative L-space
noncommutative maximal norm

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10.1007/s10114-025-3315-2

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title = "A Weighted Maximal L2 Estimate of Operator-valued Bochner{\textendash}Riesz Means",

abstract = "In this paper, we establish a weighted maximal L2 estimate of operator-valued Bochner{\textendash}Riesz means. The proof is based on noncommutative square function estimates and a sharp weighted noncommutative Hardy{\textendash}Littlewood maximal inequality.",

keywords = "42B20, 42B30, 46E30, Bochner{\textendash}Riesz means, Noncommutative L-space, noncommutative maximal norm",

author = "Guixiang Hong and Liyuan Zhang",

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PY - 2025/1

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N2 - 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.

AB - 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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KW - 42B30

KW - 46E30

KW - Bochner–Riesz means

KW - Noncommutative L-space

KW - noncommutative maximal norm

UR - https://www.scopus.com/pages/publications/85218143809

U2 - 10.1007/s10114-025-3315-2

DO - 10.1007/s10114-025-3315-2

M3 - 文章

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JO - Acta Mathematica Sinica, English Series

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

Abstract

Keywords

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