On a class of sublinear operators in variable exponent Morrey-type spaces

被引：3

作者：

Rafeiro, H. ^{[1
]}

Samko, S. ^{[2
,3
]}

机构：

[1] United Arab Emirates Univ, Coll Sci, Dept Math Sci, Abu Dhabi, U Arab Emirates

[2] Univ Algarve, Fac Sci & Technol, Faro, Portugal

[3] Russian Acad Sci, Kh Ibragimov Complex Inst, Grozny, Russia

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2022年 / 67卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Sublinear operators; Morrey-type spaces; variable exponent; MAXIMAL OPERATOR; RECENT PROGRESS; REAL ANALYSIS; BOUNDEDNESS;

D O I：

10.1080/17476933.2021.1924156

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a class of sublinear operators, we find conditions on the variable exponent Morrey-type space L-p(.),L-q,L-omega(.,L-.)(R-n) ensuring the boundedness in this space. A priori assumptions on this class are that the operators are bounded in L-p(.)(R-n) and satisfy some size condition. This class includes in particular the maximal operator, singular operators with the standard kernel, and the Hardy operators. Wealso prove embedding of variable exponent Morrey-type spaces into weighted L-p(.)-spaces.

引用

页码：683 / 700

页数：18

共 35 条

[21]

Kokilashvili, 2016, OPERATOR THEORY ADV, V248

[22]

Kokilashvili V, 2016, OPER THEORY ADV APPL, V249, P569, DOI 10.1007/978-3-319-21018-6

[23]

Kokilashvili V., 2016, VARIABLE EXPONENT H, V2

[24]

Lu G., 2002, Anal. Math, V28, P103, DOI [10.1023/A:1016568918973, DOI 10.1023/A:1016568918973]

[25]

Matuszewska W., 1965, Stud. Math, V26, P11, DOI DOI 10.4064/SM-26-1-11-24

[26]

Matuszewska W., 1960, Bull. Acad. Polon. Sci, V8, P439

[27] A note on the boundedness of sublinear operators on grand variable Herz spaces [J].

Nafis, Hammad ;

Rafeiro, Humberto ;

Zaighum, Muhammad Asad .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)

[28]

Rafeiro H., 2013, Operator Theory, Pseudo-Differential Equations, and Mathematical Physics, V228, P293

[29] Coincidence of Variable Exponent Herz Spaces with Variable Exponent Morrey Type Spaces and Boundedness of Sublinear Operators in these Spaces [J].

Rafeiro, Humberto ;

Samko, Stefan .

POTENTIAL ANALYSIS, 2022, 56 (03) :437-457

[30] Herz Spaces Meet Morrey Type Spaces and Complementary Morrey Type Spaces [J].

Rafeiro, Humberto ;

Samko, Stefan .

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2020, 26 (05)

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