TWO-WEIGHT NORM ESTIMATES FOR SUBLINEAR INTEGRAL OPERATORS IN VARIABLE EXPONENT LEBESGUE SPACES

被引：1

作者：

Kokilashvili, Vakhtang ^{[1
,2
]}

Meskhi, Alexander ^{[1
,3
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, GE-0177 Tbilisi, Georgia

[2] Int Black Sea Univ, GE-0131 Tbilisi, Georgia

[3] Georgian Tech Univ, Fac Informat & Control Syst, Dept Math, Tbilisi, Georgia

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2014年 / 51卷 / 03期

基金：

美国国家科学基金会;

关键词：

Sublinear integral operators; maximal operator; singular integrals; fractional integrals; spaces of homogeneous type; variable exponent Lebesgue spaces; two-weight inequality; GENERALIZED LEBESGUE; MAXIMAL FUNCTIONS; SINGULAR-OPERATORS; SOBOLEV EMBEDDINGS; MORREY SPACES; BOUNDEDNESS; INEQUALITIES; CONVOLUTION; POTENTIALS; LP(X);

D O I：

10.1556/SScMath.51.2014.3.1290

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two-weight norm estimates for sublinear integral operators involving Hardy-Little-wood maximal, Calderon-Zygmund and fractional integral operators in variable exponent Lebesgue spaces are derived. Operators and the space are defined on a quasi-metric measure space with doubling condition. The derived conditions are written in terms of L-p(.) norms and are simultaneously necessary and sufficient for appropriate inequalities for maximal and fractional integral operators mainly in the case when weights are of radial type.

引用

页码：384 / 406

页数：23

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