Results 211 to 220 of about 26,802 (251)
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Boundedness of Operators of Harmonic Analysis in Grand Variable Exponent Morrey Spaces
Mediterranean Journal of Mathematics, 2023In this paper, the authors consider the boundedness of the operators of Harmonic Analysis such as Hardy-Littlewood maximal, fractional, and Calderón-Zygmund singular integral operators in grand variable exponent Morrey spaces under log-Hölder continuity condition on exponents.
Kokilashvili, Vakhtang +1 more
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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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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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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.
Fiorenza, Alberto +2 more
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Maximal and Calderón–Zygmund operators in grand variable exponent Lebesgue spaces
Georgian Mathematical Journal, 2014Abstract New function spaces L p ( ·
Kokilashvili, Vakhtang +1 more
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Sobolev‐type inequalities for potentials in grand variable exponent Lebesgue spaces
Mathematische Nachrichten, 2019AbstractWe introduce a new scale of grand variable exponent Lebesgue spaces denoted by . These spaces unify two non‐standard classes of function spaces, namely, grand Lebesgue and variable exponent Lebesgue spaces. The boundedness of integral operators of Harmonic Analysis such as maximal, potential, Calderón–Zygmund operators and their commutators are
Edmunds, David E. +2 more
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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
Wei, Haihua, Xu, Jingshi
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Journal of Pseudo-Differential Operators and Applications, 2023
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Lu, Guanghui +2 more
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Lu, Guanghui +2 more
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Journal of Fourier Analysis and Applications, 2022
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Vakhtang Kokilashvili, Alexander Meskhi
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Vakhtang Kokilashvili, Alexander Meskhi
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Boundedness of Parametric Marcinkiewicz Integral Operator on Grand Variable Exponent Herz Spaces
Journal of Mathematical ScienceszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kainat, Azka +2 more
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