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Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces
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Vakhtang Kokilashvili, Alexander Meskhi
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Hardy–Littlewood Maximal Operator in Weighted Grand Variable Exponent Lebesgue Space
Mediterranean Journal of Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alberto Fiorenza +2 more
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On the Boundedness of Sublinear Operators on Grand Herz–Hardy Spaces with Variable Exponent
Mediterranean Journal of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muhammad Asad Zaighum
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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
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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
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One-Sided Operators in Grand Variable Exponent Lebesgue Spaces
Zeitschrift für Analysis und ihre Anwendungen, 2018The 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
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Journal of Fourier Analysis and Applications, 2022
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Vakhtang Kokilashvili, Alexander Meskhi
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vakhtang Kokilashvili, Alexander Meskhi
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The inclusion theorems for generalized variable exponent grand Lebesgue spaces
2021Summary: 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
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Riesz–Zygmund Means and Approximation in Variable Exponent Grand Spaces
Results in MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergey Volosivets
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Proximinality in Banach Space-Valued Grand Bochner-Lebesgue Spaces with Variable Exponent
Mathematical Notes, 2019Let \((A,\mathcal A, \mu)\) 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
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Journal of Pseudo-Differential Operators and Applications, 2023
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Guanghui Lu, Shuangping Tao
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Guanghui Lu, Shuangping Tao
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