Potential Operators in Variable Exponent Lebesgue Spaces: Two-Weight Estimates

Vakhtang Kokilashvili; Alexander Meskhi; Muhammad Sarwar

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Potential Operators in Variable Exponent Lebesgue Spaces: Two-Weight Estimates

机译：可变指数Lebesgue空间中的势算子：两次加权估计

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摘要

We study the two-weight problem for Hardy-type and potential operators in Lebesgue spaces with nonstandard growth defined on quasimetric measure spaces (X,d,μ).

机译：我们研究了在准度量空间（X，d，μ）上定义了非标准增长的Lebesgue空间中Hardy型和潜在算子的二重问题。

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《Journal of inequalities and applications》 |2010年第3期|p.58.1-58.27|共27页
作者
Vakhtang Kokilashvili; Alexander Meskhi; Muhammad Sarwar;
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Department of Mathematical Analysis, A. Razmadze Mathematical Institute, 1. M. Aleksidze Street,0193 Tbilisi, Georgia,Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, 2 University Street,0143 Tbilisi, Georgia;

Department of Mathematical Analysis, A. Razmadze Mathematical Institute, 1. M. Aleksidze Street,0193 Tbilisi, Georgia,Department of Mathematics, Faculty of Informatics and Control Systems, Georgian Technical University,77 Kostava Street, 0175 Tbilisi, Georgia;

Abdus Salam School of Mathematical Sciences, GC University, 68-B New Muslim Town,Lahore 54600, Pakistan;

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1. Potential Operators in Variable Exponent Lebesgue Spaces: Two-Weight Estimates [J] . Vakhtang Kokilashvili, Alexander Meskhi, Muhammad Sarwar Journal of inequalities and applications . 2010,第1期

机译：可变指数Lebesgue空间中的势算子：两次加权估计
2. TWO-WEIGHT NORM ESTIMATES FOR SUBLINEAR INTEGRAL OPERATORS IN VARIABLE EXPONENT LEBESGUE SPACES [J] . Kokilashvili Vakhtang, Meskhi Alexander Studia Scientiarum Mathematicarum Hungarica . 2014,第3期

机译：变指数Lesbue空间中次线性积分算子的二重范数估计
3. TWO-WEIGHT INEQUALITIES FOR THE MAXIMAL OPERATOR IN A LEBESGUE SPACE WITH VARIABLE EXPONENT [J] . F. I. Mamedov, Y. Zeren Journal of Mathematical Sciences . 2011,第6期

机译：具有可变指数的Lebesgue空间中最大算子的两个不等式
4. Continuity properties of imaginary powers for Laplace operators on variable Lebesgue spaces [C] . Jianlin ZHANG International conference on modelling and simulation;ICMS2010 . 2010

机译：可变Lebesgue空间上Laplace算子的虚数幂的连续性
5. Weighted Norm Inequalities for the Maximal Operator on Variable Lebesgue Spaces over Spaces of Homogeneous Type [D] . ?Cummings, Jeremy 2020

机译：齐型空间上的加权模不等式极大算变勒贝格空间
6. Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents [O] . Jingshi Xu, Jinlai Zhu -1

机译：Besov和Triebel–Lizorkin空间中具有可变指数的与双线性Hörmander类相关的双线性伪微分算子的估计
7. Potential Operators in Variable Exponent Lebesgue Spaces: Two-Weight Estimates [O] . Vakhtang Kokilashvili, Alexander Meskhi, Muhammad Sarwar 2011

机译：可变指数Lebesgue空间中的势算子：两次加权估计

Potential Operators in Variable Exponent Lebesgue Spaces: Two-Weight Estimates

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