An uncertainty principle on the Lorentz spaces

被引：0

作者：

Fu, Xing ^{[1
]}

Xiao, Jie ^{[2
]}

机构：

[1] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R China

[2] Mem Univ, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 237卷

基金：

中国国家自然科学基金; 芬兰科学院; 加拿大自然科学与工程研究理事会;

关键词：

Lorentz space; Uncertainty principle; Dual space;

D O I：

10.1016/j.na.2023.113367

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Via subtly combining the Plancherel theorem with various inequalities including Chebyshev's inequality, generalized Holder's and Hausdorff-Young's inequalities, we establish a new nonlinear uncertainty principle on the Lorentz spaces Lp,q(Rn) for whole ranges of the indexes p, q E ([1, oo) x (0, 1]) U ((1, oo) x (1, oo)).(c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：21

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