Results 211 to 220 of about 26,827 (247)

Sobolev‐type inequalities for potentials in grand variable exponent Lebesgue spaces

Mathematische Nachrichten, 2019
AbstractWe 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., Kokilashvili, Vakhtang, Meskhi, Alexander   +2 more
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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
Wei, Haihua, Xu, Jingshi
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$$\Theta $$-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
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Lu, Guanghui, Tao, Shuangping, Liu, Ronghui   +2 more
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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
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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 Sciences
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Kainat, Azka, Nafis, Hammad, Zaighum, Muhammad Asad   +2 more
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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.
Danelia, Nina, Kokilashvili, Vakhtang
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Riesz–Zygmund Means and Approximation in Variable Exponent Grand Spaces

Results in Mathematics
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The Riemann boundary value problem in the class of Cauchy type integrals with densities of grand variable exponent Lebesgue spaces

Georgian Mathematical Journal, 2016
Abstract The present paper deals with the Riemann boundary value problem for analytic functions in the framework of the new function spaces introduced by the first two authors, the so-called grand variable exponent Lebesgue spaces which unify two non-standard type function spaces: variable exponent Lebesgue spaces and grand Lebesgue ...
Kokilashvili, Vakhtang, Meskhi, Alexander, Paatashvili, Vakhtang   +2 more
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On the Boundedness of Sublinear Operators on Grand Herz–Hardy Spaces with Variable Exponent

Mediterranean Journal of Mathematics
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Shabbir, Faiza, Zaighum, Muhammad Asad
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Extrapolation results on variable exponent grand Lebesgue space with Bp(·)$B_{p(\cdot)}$ weights

Mathematische Nachrichten
AbstractIn this paper, we study Rubio de Francia extrapolation theorems in the framework of the variable grand Lebesgue spaces with weights. As an application of the extrapolation theorems, we prove the boundedness of the Hardy averaging operator and the fractional Riemann Liouville transform for nonnegative and nonincreasing measurable functions ...
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