Regularity results in grand variable exponent Morrey spaces and applications
Electronic Research ArchiveThe boundedness of commutators of Calderón–Zygmund operators in grand variable exponent Morrey spaces is established. The operators and spaces are defined on quasi-metric measure spaces with doubling measure.
Dali Makharadze +2 more
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Boundedness of sublinear operators on two-weighted grand Herz spaces with variable exponent
Journal of Inequalities and ApplicationsIn this article, we introduce the concept of two-weighted grand variable Herz spaces as a natural generalization of variable Herz spaces. We establish the boundedness of sublinear operators within this framework, offering significant insights into their ...
Hammad Nafis
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Local grand variable exponent Lebesgue spaces
Zeitschrift für Analysis und ihre Anwendungen, 2023 We introduce local grand variable exponent Lebesgue spaces, where the variable exponent Lebesgue space is “aggrandized” only at a given closed set F of measure zero.
Rafeiro, Humberto, Samko, Stefan
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Weighted variable exponent grand Lebesgue spaces and inequalities of approximation
Hacettepe Journal of Mathematics and Statistics, 2021 In this paper we discuss and investigate trigonometric approximation in weighted grand variable exponent Lebesgue spaces. We also prove the direct and inverse theorems in these spaces.
İsmail AYDIN, Ramazan AKGÜN
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Boundedness of Marcinkiewicz integral operator of variable order in grand Herz-Morrey spaces
AIMS Mathematics, 2023 Let $ \mathbb{S}^{n-1} $ denotes the unit sphere in $ \mathbb{R}^n $ equipped with the normalized Lebesgue measure. Let $ \Phi \in L^r(\mathbb{S}^{n-1}) $ be a homogeneous function of degree zero.
Mehvish Sultan +3 more
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Fractional integrals and derivatives: mapping properties [PDF]
, 2016 This survey is aimed at the audience of readers interested in the information on mapping properties of various forms of fractional integration operators, including multidimensional ones, in a large scale of various known function spaces.As is well known,
Rafeiro, Humberto, Samko, Stefan
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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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Variable Anisotropic Hardy Spaces with Variable Exponents
Analysis and Geometry in Metric Spaces, 2021 Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12].
Yang Zhenzhen +3 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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