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

[41] Weak Musielak-Orlicz Hardy Spaces Associated with Operators Satisfying Gaussian Estimates on Spaces of Homogeneous Type
He, Yao
JOURNAL OF GEOMETRIC ANALYSIS, 2025, 35 (03)
[42] APPLICATIONS OF REFINED HARDY-TYPE INEQUALITIES
Iqbal, Sajid
Pecaric, Josip
Samraiz, Muhammad
Sultana, Nazra
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (04): : 1539 - 1560
[43] A Hardy-type inequality in two dimensions
Kumar, Suket
INDAGATIONES MATHEMATICAE-NEW SERIES, 2009, 20 (02): : 247 - 260
[44] Weighted weak-type inequalities for generalized Hardy operators
A. L. Bernardis
F. J. Martín-Reyes
P. Ortega Salvador
Journal of Inequalities and Applications, 2006
[45] Hardy-type inequalities via convexity
Kaijser, S
Nikolova, L
Persson, LE
Wedestig, A
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2005, 8 (03): : 403 - 417
[46] Boundedness of discrete Hardy-type operators and self-improving properties of discrete Ariňo and Muckenhoupt weights
Saker, Samir H.
Mahmoud, Ramy R.
Krnic, Mario
PERIODICA MATHEMATICA HUNGARICA, 2025, : 415 - 433
[47] Sharpness of some Hardy-type inequalities
Persson, Lars-Erik
Samko, Natasha
Tephnadze, George
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
[48] Sharp estimates for commutators of bilinear operators on Morrey type spaces
Wang, Dinghuai
Zhou, Jiang
Teng, Zhidong
HOKKAIDO MATHEMATICAL JOURNAL, 2020, 49 (01) : 165 - 199
[49] WEAK TYPE ENDPOINT ESTIMATES FOR THE COMMUTATORS OF ROUGH SINGULAR INTEGRAL OPERATORS
Lan, Jiacheng
Tao, Xiangxing
Hu, Guoen
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (04): : 1179 - 1195
[50] Sharp estimates for dyadic-type maximal operators and stability
Melas, Antonios
FIRST CONGRESS OF GREEK MATHEMATICIANS, 2020, : 167 - 180

← 1 2 3 4 5 →