Boundedness on variable exponent Morrey-Herz space for fractional multilinear Hardy operators

被引：1
作者：
Asim, Muhammad [1 ]
Alnemer, Ghada [2 ]
机构：
[1] Natl Univ Technol NUTECH, Islamabad 44000, Pakistan
[2] Princess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, Riyadh 11671, Saudi Arabia
来源：
AIMS MATHEMATICS | 2025年 / 10卷 / 01期
关键词：
multilinear operators; fractional integral; variable exponent function spaces; SHARP WEAK BOUNDS; P-ADIC HARDY; MAXIMAL OPERATOR; LEBESGUE; INTEGRALS;
D O I：
10.3934/math.2025007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this treatise, the boundedness of the multilinear fractional Hardy operators is scrutinized within the context of variable exponent Morrey-Herz spaces, denoted as MK (center dot) alpha ( <middle dot> ) ,lambda q , p ( <middle dot> ) (R n ). Analogous estimations are derived for their commutators, contingent upon the symbol functions residing in the space of bounded mean oscillation (BMO) with variable exponents.
引用
收藏
页码：117 / 136
页数：20
相关论文
共 46 条
[1]   Maximal, potential and singular type operators on Herz spaces with variable exponents [J].
Almeida, Alexandre ;
Drihem, Douadi .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 394 (02) :781-795
[2]   Results for fractional bilinear Hardy operators in central varying exponent Morrey space [J].
Asim, Muhammad ;
Alnemer, Ghada .
AIMS MATHEMATICS, 2024, 9 (11) :29689-29706
[3]   SOME VARIABLE EXPONENT BOUNDEDNESS AND COMMUTATORS ESTIMATES FOR FRACTIONAL ROUGH HARDY OPERATORS ON CENTRAL MORREY SPACE [J].
Asim, Muhammad ;
Gurbuz, Ferit .
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2024, 73 (03) :802-819
[4]   Weighted estimates for fractional bilinear Hardy operators on variable exponent Morrey-Herz space [J].
Asim, Muhammad ;
Ayoob, Irshad ;
Hussain, Amjad ;
Mlaiki, Nabil .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01)
[5]   Weighted variable Morrey-Herz estimates for fractional Hardy operators [J].
Asim, Muhammad ;
Hussain, Amjad ;
Sarfraz, Naqash .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
[6]  
BENNETT C., 1988, Interpolation of Operators
[7]  
Capone C, 2007, REV MAT IBEROAM, V23, P743
[8]   Variable exponent, linear growth functionals in image restoration [J].
Chen, Yunmei ;
Levine, Stacey ;
Rao, Murali .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2006, 66 (04) :1383-1406
[9]   BEST CONSTANTS FOR 2 NONCONVOLUTION INEQUALITIES [J].
CHRIST, M ;
GRAFAKOS, L .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (06) :1687-1693
[10]  
Cruz-Uribe D, 2006, ANN ACAD SCI FENN-M, V31, P239
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