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

共 50 条

[41] Two-weight norm inequalities for maximal functions on homogeneous spaces and boundary estimates
Zani, SL
STUDIA MATHEMATICA, 1997, 126 (01) : 67 - 94
[42] TWO-WEIGHT NORM INEQUALITIES ON MORREY SPACES
Tanaka, Hitoshi
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2015, 40 (02) : 773 - 791
[43] Bn-MAXIMAL OPERATOR AND Bn -SINGULAR INTEGRAL OPERATORS ON VARIABLE EXPONENT LEBESGUE SPACES
Ekincioglu, Ismail
Guliyev, Vagif S.
Kaya, Esra
MATHEMATICA SLOVACA, 2020, 70 (04) : 893 - 902
[44] Boundedness of sublinear operators on two-weighted grand Herz spaces with variable exponent
Hammad Nafis
Journal of Inequalities and Applications, 2025 (1)
[45] On Uniform Boundedness of Some Families of Integral Convolution Operators in Weighted Variable Exponent Lebesgue Spaces
Shakh-Emirov, T. N.
IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2014, 14 (04): : 422 - 427
[46] On the regularization of a multidimensional integral equation in Lebesgue spaces with variable exponent
Samko, S. G.
Umarkhadzhiev, S. M.
MATHEMATICAL NOTES, 2013, 93 (3-4) : 583 - 592
[47] On the regularization of a multidimensional integral equation in Lebesgue spaces with variable exponent
S. G. Samko
S. M. Umarkhadzhiev
Mathematical Notes, 2013, 93 : 583 - 592
[48] Uniform Boundedness of Kantorovich Operators in Variable Exponent Lebesgue Spaces
Ayazoglu , Rabil
Akbulut, Sezgin
Akkoyunlu, Ebubekir
FILOMAT, 2019, 33 (18) : 5755 - 5765
[49] Sharp two-weight, weak-type norm inequalities for singular integral operators
Cruz-Uribe, D
Pérez, C
MATHEMATICAL RESEARCH LETTERS, 1999, 6 (3-4) : 417 - 427
[50] Integral operators with rough kernels in variable Lebesgue spaces
M. Urciuolo
L. Vallejos
Acta Mathematica Hungarica, 2020, 162 : 105 - 116

← 1 2 3 4 5 →