TWO-WEIGHT INEQUALITIES FOR FRACTIONAL MAXIMAL FUNCTIONS AND SINGULAR INTEGRALS IN L~(p(·)) SPACES

V. Kokilashvili; A. Meskhi

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TWO-WEIGHT INEQUALITIES FOR FRACTIONAL MAXIMAL FUNCTIONS AND SINGULAR INTEGRALS IN L~(p(·)) SPACES

机译：L〜（p（·））空间中分数最大函数和奇异积分的两个不等式

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摘要

Various type of two-weight criteria for fractional maximal operators (involving the Hardy-Littlewood maximal functions) and singular integrals in variable exponent Lebesgue spaces defined on the real line are established.

机译：在实线上定义的可变指数Lebesgue空间中，建立了分数最大算子（涉及Hardy-Littlewood最大函数）和奇异积分的各种类型的二重准则。

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《Journal of Mathematical Sciences》 |2011年第6期|p.656-673|共18页
作者
V. Kokilashvili; A. Meskhi;
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A. Razmadze Mathematical Institute M. Aleksidze Str., Tbilisi 0193, Georgia I. Javakhishvili Tbilisi State University A. Razmadze Mathematical Institute University Str., Tbilisi 0143, Georgia;

A. Razmadze Mathematical Institute M. Aleksidze Str., Tbilisi 0193, Georgia A. Razmadze Mathematical Institute Georgian Technical University 77 Kostava Street, Tbilisi 0175, Georgia;

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1. Two-Weight Weak Type Inequality for Modified Fractional Maximal Function Defined with Respect to Non-Doubling Measure and Some Applications in Non-standard Lebesgue Spaces [J] . Massinanke Sambourou Bulletin of the Brazilian Mathematical Society . 2019,第3期

机译：用于在非倍增措施和非标准Lebesgue空间中的一些应用程序定义的修改分数最大函数的双重弱型不等式
2. Two‐weight norm inequalities for fractional maximal functions and fractional integral operators on weighted Morrey spaces [J] . Mathematische Nachrichten . 2020,第5期

机译：分数最大函数的双重规范不等式和加权Morrey空间上的分数积分运算符
3. Two-weight norm inequalities for fractional maximal operators on spaces of generalized homogeneous type [J] . R. Trujillo-González Periodica Mathematica Hungarica . 2002,第1期

机译：广义齐次型空间上分数最大算子的二重范数不等式
4. Hadamard type inequalities for m-convex and (α, m)-convex functions via fractional integrals [C] . Merve Avci Ardic, Alper Ekinci, Ahmet Ocak Akdemir, International Eurasian Conference on Mathematical Sciences and Applications . 2018

机译：Hadamard型不等式对于M-Convex和（α，m） - 透露函数通过分数积分函数
5. Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains. [D] . Sloane, Craig Andrew. 2011

机译：半空间和凸域上的分数积分的Hardy-Sobolev-Maz'ya不等式。
6. Weighted inequalities for fractional integral operators and linear commutators in the Morrey-type spaces [O] . Hua Wang -1

机译：Morrey型空间中分数阶积分算子和线性交换子的加权不等式
7. Two-Weighted Inequalities for Hardy-Littlewood Maximal Functions and Singular Integrals in $l^{p(\cdot)}$ Spaces [O] . Kokilashvili, Vakhtang, Meskhi, Alexander 2010

机译：Hardy-Littlewood极大函数的两个加权不等式 $ l ^ {p（\ cdot）} $ spaces中的奇异积分

TWO-WEIGHT INEQUALITIES FOR FRACTIONAL MAXIMAL FUNCTIONS AND SINGULAR INTEGRALS IN L~(p(·)) SPACES

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