Results 1 to 10 of about 26,708 (128)

Approximation by matrix transform in generalized grand Lebesgue spaces with variable exponent

Journal of Numerical Analysis and Approximation Theory, 2021
In this work the Lipschitz subclass of the generalized grand Lebesgue space with variable exponent is defined and the error of approximation by matrix transforms in this subclass is estimated.
Ahmet Testici, Daniyal Israfilov
doaj   +9 more sources

Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent

Fractal and Fractional, 2022
In this paper, we introduce grand weighted Herz–Morrey spaces with a variable exponent and prove the boundedness of fractional integrals on these spaces.
Babar Sultan, Fatima M. Azmi, Mehvish Sultan, Tariq Mahmood, Nabil Mlaiki, Nizar Souayah   +5 more
doaj   +2 more sources

Atomic Decompositions and John-Nirenberg Theorem of Grand Martingale Hardy Spaces with Variable Exponents

Journal of Function Spaces, 2022
Let θ≥0 and p· be a variable exponent, and we introduce a new class of function spaces Lp·,θ in a probabilistic setting which unifies and generalizes the variable Lebesgue spaces with θ=0 and grand Lebesgue spaces with p·≡p and θ=1.
Libo Li, Zhiwei Hao
doaj   +2 more sources

Boundedness of sublinear operators on two-weighted grand Herz spaces with variable exponent

Journal of Inequalities and Applications
In 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
doaj   +3 more sources

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
openaire   +2 more sources

Boundedness of Riesz Potential Operator on Grand Herz-Morrey Spaces

Axioms, 2022
In this paper, we introduce grand Herz–Morrey spaces with variable exponent and prove the boundedness of Riesz potential operators in these spaces.
Babar Sultan, Fatima Azmi, Mehvish Sultan, Mazhar Mehmood, Nabil Mlaiki   +4 more
doaj   +1 more source

Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces

Journal of Function Spaces, 2022
In this paper, we prove the boundedness of multilinear Calderón-Zygmund operators on product of grand variable Herz spaces. These results generalize the boundedness of multilinear Calderón-Zygmund operators on product of variable exponent Lebesgue spaces
Hammad Nafis, Humberto Rafeiro, Muhammad Asad Zaighum   +2 more
doaj   +1 more source

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
openaire   +7 more sources

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, Yang Yajuan, Sun Jiawei, Li Baode   +3 more
doaj   +1 more source

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
core   +1 more source