Stein-Weiss inequalities on local Morrey spaces with variable exponents

被引：0

作者：

Ho, Kwok-Pun ^{[1
]}

机构：

[1] Educ Univ Hong Kong, Dept Math & Informat Technol, Tai Po, 10 Lo Ping Rd, Hong Kong, Peoples R China

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2024年 / 68卷 / 02期

关键词：

SINGULAR INTEGRAL-OPERATORS; WEIGHT NORM INEQUALITIES; SUFFICIENT CONDITIONS; FRACTIONAL INTEGRALS; MAXIMAL OPERATOR; 2-WEIGHT NORM; BOUNDEDNESS; SOBOLEV;

D O I：

10.1215/00192082-11285728

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper establishes the Stein-Weiss inequalities on local Morrey spaces with variable exponents. It is presented as the boundedness of the fractional integral operators on power -weighted local Morrey spaces with variable exponents with different power weights. As a consequence of the main result, we obtain some Poincar & eacute; inequalities for local Morrey spaces with variable exponents.

引用

页码：399 / 413

页数：15

共 50 条

[21] Reverse Stein-Weiss Inequalities on the Upper Half Space and the Existence of Their Extremals
Chen, Lu
Lu, Guozhen
Tao, Chunxia
[J]. ADVANCED NONLINEAR STUDIES, 2019, 19 (03) : 475 - 494
[22] Fractional integral operators on Hardy local Morrey spaces with variable exponents
Ho, Kwok-Pun
[J]. CARPATHIAN MATHEMATICAL PUBLICATIONS, 2024, 16 (01) : 190 - 202
[23] Variations on a theme of Boole and Stein-Weiss
Colzani, L.
Laeng, E.
Monzon, L.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 363 (01) : 225 - 229
[24] Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups
Kassymov, Aidyn
Ruzhansky, Michael
Suragan, Durvudkhan
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2019, 30 (08) : 643 - 655
[25] ON THE STEIN-WEISS TYPE INEQUALITIES FOR THE RIESZ POTENTIAL ON THE HEISENBERG GROUP AND SOME APPLICATIONS
Mammadov, Yagub Y.
[J]. PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2010, 32 (40): : 141 - 156
[26] Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group
Han, Xiaolong
Lu, Guozhen
Zhu, Jiuyi
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (11) : 4296 - 4314
[27] The Stein-Weiss theorem for the ergodic Hilbert transform
Ephremidze, L
[J]. STUDIA MATHEMATICA, 2004, 165 (01) : 61 - 71
[28] OPERATORS ON HERZ-MORREY SPACES WITH VARIABLE EXPONENTS
Ho, Kwok-Pun
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2023, 26 (04): : 861 - 886
[29] INEQUALITIES FOR WEIGHTED SPACES WITH VARIABLE EXPONENTS
Rocha, Pablo
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2023, 26 (02): : 511 - 530
[30] Extrapolation to weighted Morrey spaces with variable exponents and applications
Ho, Kwok-Pun
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2021, 64 (04) : 1002 - 1027

← 1 2 3 4 5 →