Multilinear singular integrals and commutators in variable exponent Lebesgue spaces

被引：33

作者：

Huang Ai-wu ^{[1
]}

Xu Jing-shi ^{[1
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2010年 / 25卷 / 01期

关键词：

Multilinear singular integral; commutator; variable exponent; Lebesgue space; BMO function; maximal operator; L-P SPACES; MAXIMAL-FUNCTION; OPERATORS;

D O I：

10.1007/s11766-010-2167-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Boundedness of multilinear singular integrals and their commutators from products of variable exponent Lebesgue spaces to variable exponent Lebesgue spaces are obtained. The vector-valued case is also considered.

引用

页码：69 / 77

页数：9

共 14 条

[1]

[Anonymous], HARMONIC ANAL

[2]

[Anonymous], 2001, Expo. Math.

[3]

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

[4]

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

[5] Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals [J].

Curbera, Guillermo P. ;

Garcia-Cuerva, Jose ;

Martell, Jose Maria ;

Perez, Carlos .

ADVANCES IN MATHEMATICS, 2006, 203 (01) :256-318

[6] Maximal function on Musielak-Orlicz spaces and generalized Lebesgue spaces [J].

Diening, L .

BULLETIN DES SCIENCES MATHEMATIQUES, 2005, 129 (08) :657-700

[7]

Diening L, 2004, MATH INEQUAL APPL, V7, P245

[8] Multilinear Calderon-Zygmund theory [J].

Grafakos, L ;

Torres, RH .

ADVANCES IN MATHEMATICS, 2002, 165 (01) :124-164

[9]

KOVACIK O, 1991, CZECH MATH J, V41, P592

[10] Hardy-Littlewood maximal operator on Lp(x)(R) [J].

Nekvinda, A .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2004, 7 (02) :255-265

← 1 2 →