SHARP WEAK ESTIMATES FOR HARDY-TYPE OPERATORS

被引：16

作者：

Gao, Guilian ^{[1
]}

Hu, Xiaomin ^{[1
]}

Zhang, Chunjie ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2016年 / 7卷 / 03期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

Hardy operator; the conjugate Hardy operator; central Morrey space; weak central Morrey space; duality; INEQUALITIES; CONSTANTS; BOUNDS;

D O I：

10.1215/20088752-3605447

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we prove the weak bound for an n-dimensional Hardy operator on a central Morrey space. Meanwhile, we obtain the precise operator norm, and we give the weak bounds for the conjugate Hardy operator on Lebesgue space with power weights. The corresponding operator norms are also computed. As an application, we obtain an estimate for the gamma function.

引用

页码：421 / 433

页数：13

共 50 条

[21] Hardy-Type Operators in Lorentz-Type Spaces Defined on Measure Spaces
Qinxiu Sun
Xiao Yu
Hongliang Li
Indian Journal of Pure and Applied Mathematics, 2020, 51 : 1105 - 1132
[22] Hardy-type inequalities on strong and weak Orlicz-Lorentz spaces
Li HongLiang
SCIENCE CHINA-MATHEMATICS, 2012, 55 (12) : 2493 - 2505
[23] Boundedness and compactness of Hardy-type integral operators on Lorentz-type spaces
Li, Hongliang
Sun, Qinxiu
Yu, Xiao
FORUM MATHEMATICUM, 2018, 30 (04) : 997 - 1011
[24] Hardy-type inequalities on strong and weak Orlicz-Lorentz spaces
HongLiang Li
Science China Mathematics, 2012, 55 : 2493 - 2505
[25] Hardy-type inequalities on strong and weak Orlicz-Lorentz spaces
LI HongLiang Department of Mathematics
Science China(Mathematics), 2012, 55 (12) : 2491 - 2503
[26] Sharp estimates for the p-adic Hardy type operators on higher-dimensional product spaces
Liu, Ronghui
Zhou, Jiang
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[27] Weighted inequalities for Hardy-type operators on the cone of decreasing functions in an Orlicz space
Bakhtigareeva, E. G.
Gol'dman, M. L.
MATHEMATICAL NOTES, 2017, 102 (5-6) : 623 - 631
[28] A WEIGHTED HARDY-TYPE INEQUALITY FOR 0 < p < 1 WITH SHARP CONSTANT
Azzouz, Noureddine
Burenkov, Victor I.
Senouci, Abdelkader
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (02): : 787 - 799
[29] Hardy-type operators with rough kernels on central Morrey space with variable exponent
Chenchen Niu
Hongbin Wang
Advances in Operator Theory, 2023, 8
[30] Mixed radial-angular bounds for Hardy-type operators on Heisenberg group
Hang, Zhongci
Yan, Dunyan
Li, Xiang
AIMS MATHEMATICS, 2023, 8 (09): : 21022 - 21032

← 1 2 3 4 5 →