Density, Duality and Preduality in Grand Variable Exponent Lebesgue and Morrey Spaces [PDF]
Mediterranean Journal of Mathematics, 2018 15 ...
Alexander Meskhi, Yoshihiro Sawano
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Boundedness of some operators on grand Herz spaces with variable exponent
AIMS Mathematics, 2023 <abstract><p>Our aim in this paper is to prove boundedness of an intrinsic square function and higher order commutators of fractional integrals on grand Herz spaces with variable exponent $ {\dot{K} ^{a(\cdot), u), \theta}_{ s(\cdot)}(\mathbb{R}^n)} $ by applying some properties of variable exponent.</p></abstract>
Mehvish Sultan +3 more
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A note on the boundedness of sublinear operators on grand variable Herz spaces
Journal of Inequalities and Applications, 2020 In this paper, we introduce grand variable Herz type spaces using discrete grand spaces and prove the boundedness of sublinear operators on these spaces.
Hammad Nafis +2 more
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Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent
AIMS Mathematics, 2023 <abstract><p>In this paper, we introduce grand weighted Herz spaces with variable exponent and prove the boundedness of fractional integrals on these spaces.</p></abstract>
Babar Sultan +5 more
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Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces
Annals of Functional Analysis, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vakhtang Kokilashvili, Alexander Meskhi
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The equation of state of a cell fluid model in the supercritical region [PDF]
, 2018 The analytic method for deriving the equation of state of a cell fluid model in the region above the critical temperature ($T \geqslant T_\text{c}$) is elaborated using the renormalization group transformation in the collective variables set ...
Dobush, O. A. +2 more
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Ergodic Theorem in Grand Variable Exponent Lebesgue Spaces
Mathematical Sciences and Applications E-Notes, 2020 We consider several fundamental properties of grand variable exponent Lebesgue spaces. Moreover, we discuss Ergodic theorems in these spaces whenever the exponent is invariant under the transformation...........................................................................................................................................................
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Dimensional crossovers and Casimir forces for the Bose gas in anisotropic optical lattices
, 2020 We consider the Bose gas on a $d$-dimensional anisotropic lattice employing the imperfect (mean-field) gas as a prototype example. We study the dimensional crossover arising as a result of varying the dispersion relation at finite temperature $T$.
Jakubczyk, Paweł, Łebek, Maciej
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Embeddings between grand, small and variable Lebesgue spaces
, 2017 We give conditions on the exponent function $p(\cdot)$ that imply the existence of embeddings between grand, small and variable Lebesgue spaces. We construct examples to show that our results are close to optimal.
Cruz-Uribe, David +2 more
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A note on the boundedness of Hardy operators in grand Herz spaces with variable exponent
AIMS Mathematics, 2023 <abstract><p>The fractional Hardy-type operators of variable order is shown to be bounded from the grand Herz spaces $ {\dot{K} ^{a(\cdot), u), \theta}_{ p(\cdot)}(\mathbb{R}^n)} $ with variable exponent into the weighted space $ {\dot{K} ^{a(\cdot), u), \theta}_{\rho, q(\cdot)}(\mathbb{R}^n)} $, where $ \rho = (1+|z_1|)^{-\lambda} $ and<
Samia Bashir +4 more
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