SOME VARIABLE EXPONENT BOUNDEDNESS AND COMMUTATORS ESTIMATES FOR FRACTIONAL ROUGH HARDY OPERATORS ON CENTRAL MORREY SPACE

被引:3
作者
Asim, Muhammad [1 ]
Gurbuz, Ferit [2 ]
机构
[1] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan
[2] Kirklareli Univ, Dept Math, TR-39100 Kirklareli, Turkiye
来源
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2024年 / 73卷 / 03期
关键词
Rough Hardy-type operators; central Morrey space; fractional integral; variable exponent; LEBESGUE; INTEGRALS; THEOREM;
D O I
10.31801/cfsuasmas.1463245
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we study the boundedness of the fractional Rough Hardy operator and its adjoint operators on the central Morrey space with a variable exponent. We also establish the same boundedness for their commutators when the symbol functions are on the lambda- central BMO space with a variable exponent.
引用
收藏
页码:802 / 819
页数:18
相关论文
共 37 条
[12]   WEAK LEBESGUE SPACES AND QUANTUM-MECHANICAL BINDING [J].
FARIS, WG .
DUKE MATHEMATICAL JOURNAL, 1976, 43 (02) :365-373
[13]   SINGULAR INTEGRAL OPERATORS WITH ROUGH KERNELS ON CENTRAL MORREY SPACES WITH VARIABLE EXPONENT [J].
Fu, Zunwei ;
Lu, Shanzhen ;
Wang, Hongbin ;
Wang, Liguang .
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2019, 44 :505-522
[14]   Commutators of n-dimensional rough Hardy operators [J].
Fu ZunWei ;
Lu ShanZhen ;
Zhao FaYou .
SCIENCE CHINA-MATHEMATICS, 2011, 54 (01) :95-104
[15]  
Grafakos L, 2009, GRAD TEXTS MATH, V250, P1, DOI [10.1007/978-0-387-09434-2_6, 10.1007/978-0-387-09432-8_1]
[16]   Note on a theorem of Hilbert. [J].
Hardy, GH .
MATHEMATISCHE ZEITSCHRIFT, 1920, 6 :314-317
[17]   Multilinear singular integrals and commutators in variable exponent Lebesgue spaces [J].
Huang Ai-wu ;
Xu Jing-shi .
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2010, 25 (01) :69-77
[18]   Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators [J].
Hussain, Amjad ;
Asim, Muhammad ;
Jarad, Fahd .
JOURNAL OF MATHEMATICS, 2022, 2022
[19]   Commutators of the Fractional Hardy Operator on Weighted Variable Herz-Morrey Spaces [J].
Hussain, Amjad ;
Asim, Muhammad ;
Aslam, Muhammad ;
Jarad, Fahd .
JOURNAL OF FUNCTION SPACES, 2021, 2021
[20]   Boundedness of commutators on Herz spaces with variable exponent [J].
Izuki M. .
Rendiconti del Circolo Matematico di Palermo, 2010, 59 (2) :199-213