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Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces

open access: yesAnnals of Functional Analysis, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vakhtang Kokilashvili, Alexander Meskhi
exaly   +3 more sources
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Hardy–Littlewood Maximal Operator in Weighted Grand Variable Exponent Lebesgue Space

Mediterranean Journal of Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alberto Fiorenza   +2 more
exaly   +5 more sources

On the Boundedness of Sublinear Operators on Grand Herz–Hardy Spaces with Variable Exponent

Mediterranean Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muhammad Asad Zaighum
exaly   +2 more sources

Approximation by trigonometric polynomials in the framework of variable exponent grand Lebesgue spaces

Georgian Mathematical Journal, 2016
Abstract In this paper we establish direct and inverse theorems on approximation by trigonometric polynomials for the functions of the closure of the variable exponent Lebesgue space in the variable exponent grand Lebesgue space.
Vakhtang Kokilashvili
exaly   +2 more sources

One-Sided Operators in Grand Variable Exponent Lebesgue Spaces

Zeitschrift für Analysis und ihre Anwendungen, 2018
The boundedness of one-sided integral operators in grand variable exponent Lebesgue spaces unifying grand Lebesgue spaces and variable exponent Lebesgue spaces are established. The conditions on variable exponent is weaker than the log-Hölder continuity condition.
Kokilashvili, Vakhtang   +1 more
openaire   +2 more sources

Extrapolation and the Boundedness in Grand Variable Exponent Lebesgue Spaces Without Assuming the Log-Hölder Continuity Condition, and Applications

Journal of Fourier Analysis and Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vakhtang Kokilashvili, Alexander Meskhi
exaly   +3 more sources

The inclusion theorems for generalized variable exponent grand Lebesgue spaces

2021
Summary: In this paper, we discuss and investigate the existence of the inclusion \(L^{p(.),\theta}(\mu) \subseteq L^{q(.),\theta}(\nu)\), where \(\mu\) and \(\nu\) are two finite measures on \((X,\Sigma) \). Moreover, we show that the generalized variable exponent grand Lebesgue space \(L^{p(.),\theta}(\Omega)\) has a potential-type approximate ...
Aydin, Ismail, Unal, Cihan
openaire   +1 more source

Riesz–Zygmund Means and Approximation in Variable Exponent Grand Spaces

Results in Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergey Volosivets
exaly   +2 more sources

Proximinality in Banach Space-Valued Grand Bochner-Lebesgue Spaces with Variable Exponent

Mathematical Notes, 2019
Let \((A,\mathcal A, \mu)\) be a \(\sigma\)-finite complete measure space and let \(p\) be a \(\mu\)-measurable function on \(A\) which takes values in \((1,\infty)\). Let \(Y\) be a subspace of a Banach space \(X\). The grand Bochner-Lebesgue spaces with variable exponent \(p \) whose functions take values in \(Y\) and \(X\), respectively, are denoted
Jingshi Xu
exaly   +2 more sources

$$\Theta $$-type Calderón–Zygmund operator and its commutator on (grand) generalized weighted variable exponent Morrey space over RD-spaces

Journal of Pseudo-Differential Operators and Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guanghui Lu, Shuangping Tao
exaly   +2 more sources

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