Results 11 to 20 of about 15,103 (143)

Boundedness of an intrinsic square function on grand p-adic Herz-Morrey spaces

AIMS Mathematics, 2023
This research paper focuses on establishing a framework for grand Herz-Morrey spaces defined over the $ p $-adic numbers and their associated $ p $-adic intrinsic square function.
Babar Sultan , Mehvish Sultan, Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +3 more sources

Cauchy Problems for Semilinear Parabolic Equations in Grand Herz Spaces

Mathematics
In this paper, we study Cauchy problems for the semilinear parabolic equations ∂tu−▵u=G(u) with initial data in grand Herz spaces. We extend previous results established for classical Herz spaces to the broader framework of grand Herz spaces.
Suixin He, Ronghui Liu
doaj   +3 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.
, Fatima Azmi, Nabil Mlaiki
exaly   +4 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   +4 more sources

Grand weighted variable Herz-Morrey spaces estimate for some operators

Communications in Analysis and Mechanics
In this paper, we established the boundedness of higher-order commutators $ I_{\beta, b}^{m} $ generated by the fractional integral operator with BMO functions on grand weighted variable-exponent Herz-Morrey spaces $ \mathrm{M\dot{K}}_{\lambda, p(\cdot)}^
Ming Liu, Binhua Feng
doaj   +4 more sources

Parametric Marcinkiewicz integral on grand variable Herz-Morrey spaces

AIMS Mathematics
We establish the boundedness of the parametric Marcinkiewicz integral $ \mu^\rho_\Omega $ and its higher-order commutators $ [\Lambda^m, \mu^\rho_\Omega] $ with $ \rm{BMO} $ symbols on grand variable Herz-Morrey spaces $ M\dot{K}_{\lambda, \beta(\cdot)}^{
Liwei Wang, Xiaoyan Li
doaj   +3 more sources

Boundedness of commutators of variable Marcinkiewicz fractional integral operator in grand variable Herz spaces

Journal of Inequalities and Applications
Let S n − 1 $\mathbb{S}^{n-1}$ denote unit sphere in R n $\mathbb{R}^{n}$ equipped with the normalized Lebesgue measure. Let Φ ∈ L s ( S n − 1 ) $\Phi \in L^{s}(\mathbb{S}^{n-1})$ be a homogeneous function of degree zero such that ∫ S n − 1 Φ ( y ′ ) d σ
Babar Sultan, Mehvish Sultan, Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +4 more sources

Homogeneous Grand Mixed Herz–Morrey Spaces and Their Applications

Axioms
In this paper, we introduce the homogeneous grand mixed Herz–Morrey spaces MK˙q˜,λα,p),θ(Rn) and investigate their fundamental properties. We further explore the boundedness of sublinear operators and fractional-type operators on these spaces ...
Xiaoxi Xia, Jiang Zhou
doaj   +3 more sources

Boundedness of fractional sublinear operators on weighted grand Herz-Morrey spaces with variable exponents

Open Mathematics, 2023
This article aims to delve deeper into the weighted grand variable Herz-Morrey spaces, and try to establish the boundedness of fractional sublinear operators and their multilinear commutators within this framework.
Yang Zhenzhen, Zhang Wanjing, Zhang Jing
doaj   +3 more sources

Boundedness of Rough Operators on Grand Variable Herz Spaces

Applied Mathematics, 2021
In this paper, we prove the boundedness of Calderon-Zygmund singular integral operators TΩ on grand Herz spaces with variable exponent under some conditions.
Bechir Mahamat Acyl, S. Tao, Omer Khalill   +2 more
semanticscholar   +3 more sources