Results 221 to 230 of about 2,844,213 (242)

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.
Vakhtang Kokilashvili
exaly   +2 more sources

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
Jingshi Xu
exaly   +2 more sources

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   +1 more
exaly   +3 more sources

$$\Theta $$-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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Guanghui Lu
exaly   +2 more sources

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 ...
Vakhtang Kokilashvili, Alexander Meskhi   +1 more
exaly   +3 more sources

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 ...
exaly   +2 more sources

Grand Herz–Morrey Spaces with Variable Exponent

Mathematical Notes, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sultan, M., Sultan, B., Hussain, A.
openaire   +1 more source

Variable exponents and grand Lebesgue spaces: Some optimal results [PDF]

Communications in Contemporary Mathematics, 2015
Consider p : Ω → [1, +∞[, a measurable bounded function on a bounded set Ø with decreasing rearrangement p* : [0, |Ω|] → [1, +∞[. We construct a rearrangement invariant space with variable exponent p* denoted by [Formula: see text]. According to the growth of p*, we compare this space to the Lebesgue spaces or grand Lebesgue spaces.
FIORENZA, ALBERTO, Rakotoson, Jean Michel, SBORDONE, CARLO   +2 more
openaire   +2 more sources

One-Sided Operators in Grand Variable Exponent Lebesgue Spaces

Zeitschrift für Analysis und ihre Anwendungen, 2018
The 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, Meskhi, Alexander   +1 more
openaire   +2 more sources

The inclusion theorems for generalized variable exponent grand Lebesgue spaces

2021
Summary: 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
openaire   +1 more source