Analytical findings on bilinear fractional Hardy operators in weighted central Morrey spaces with variable exponents

被引：0

作者：

Asim, Muhammad ^{[1
]}

Alnemer, Ghada ^{[2
]}

机构：

[1] Natl Univ Technol NUTECH, Dept NUSASH, 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 / 05期

关键词：

Hardy-type operators; weighted; continuity; Morrey space; MAXIMAL OPERATOR; NORM INEQUALITIES; HERZ SPACES; COMMUTATORS; BOUNDEDNESS; INTEGRALS;

D O I：

10.3934/math.2025475

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper demonstrates the boundedness of the fractional bilinear Hardy operator and its adjoint on weighted t-central Morrey spaces with a variable exponent. Analogous outcomes for their commutators were derived when the symbol functions are elements of the weighted t-central bounded mean oscillation (t-central BMO) spaces.

引用

页码：10431 / 10451

页数：21

共 33 条

[1]

[Anonymous], 2000, Collect. Math.

[2] Boundedness on variable exponent Morrey-Herz space for fractional multilinear Hardy operators [J].

Asim, Muhammad ;

Alnemer, Ghada .

AIMS MATHEMATICS, 2025, 10 (01) :117-136

[3] Results for fractional bilinear Hardy operators in central varying exponent Morrey space [J].

Asim, Muhammad ;

Alnemer, Ghada .

AIMS MATHEMATICS, 2024, 9 (11) :29689-29706

[4] 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

[5]

BENNETT C., 1988, Interpolation of Operators

[6]

Capone C, 2007, REV MAT IBEROAM, V23, P743

[7] BEST CONSTANTS FOR 2 NONCONVOLUTION INEQUALITIES [J].

CHRIST, M ;

GRAFAKOS, L .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (06) :1687-1693

[8] Weighted norm inequalities for the maximal operator on variable Lebesgue spaces [J].

Cruz-Uribe, D. ;

Fiorenza, A. ;

Neugebauer, C. J. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 394 (02) :744-760

[9]

Cruz-Uribe D, 2003, ANN ACAD SCI FENN-M, V28, P223

[10] THE MAXIMAL OPERATOR ON WEIGHTED VARIABLE LEBESGUE SPACES [J].

Cruz-Uribe, David ;

Diening, Lars ;

Hasto, Peter .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2011, 14 (03) :361-374

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