Fractional Geometrical Maximal Functions on Morrey Spaces with Variable Exponents

被引：6

作者：

Ho, Kwok-Pun ^{[1
]}

机构：

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

来源：

RESULTS IN MATHEMATICS | 2022年 / 77卷 / 01期

关键词：

Fractional geometric maximal functions; Morrey spaces; variable exponent; extrapolation; SINGULAR INTEGRAL-OPERATORS; ATOMIC DECOMPOSITION; BLOCK SPACES; EXTRAPOLATION; INEQUALITIES; BOUNDEDNESS; FACTORIZATION; POTENTIALS; LEBESGUE; KERNELS;

D O I：

10.1007/s00025-021-01570-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the mapping properties of the fractional geometric maximal functions on Morrey spaces with variable exponents. The main results cover the mapping properties of the fractional geometric maximal functions on the classical Morrey spaces and Lebesgue spaces with variable exponents.

引用

页数：14

共 38 条

[1]

Almeida A, 2008, GEORGIAN MATH J, V15, P195

[2]

Blasco O., 1999, Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, Ser., V28, P31

[3] Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent [J].

Cheung, Ka Luen ;

Ho, Kwok-Pun .

CZECHOSLOVAK MATHEMATICAL JOURNAL, 2014, 64 (01) :159-171

[4]

Cruz-Uribe D, 2006, ANN ACAD SCI FENN-M, V31, P239

[5] The minimal operator and the geometric maximal operator in Rn [J].

Cruz-Uribe, D .

STUDIA MATHEMATICA, 2001, 144 (01) :1-37

[6] Weighted norm inequalities for geometric fractional maximal operators [J].

Cruz-Uribe, D ;

Neugebauer, CJ ;

Olesen, V .

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 1999, 5 (01) :45-66

[7]

Cruz-Uribe D., 1998, Publ. Mat, V42, P239

[8]

Cruz-Uribe DV, 2011, OPER THEORY ADV APPL, V215, P3, DOI 10.1007/978-3-0348-0072-3

[9]

CruzUribe DV, 2013, APPL NUMER HARMON AN, DOI 10.1007/978-3-0348-0548-3

[10]

DEFRANCIA JLR, 1982, B AM MATH SOC, V7, P393

← 1 2 3 4 →