Results 11 to 20 of about 1,166,647 (124)

Cones generated by a generalized fractional maximal function [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
The paper considers the space of generalized fractional-maximal function, constructed on the basis of a rearrangement-invariant space. Two types of cones generated by a nonincreasing rearrangement of a generalized fractional-maximal function and
N.А. Bokayev, A. Gogatishvili, А.N. Abek   +2 more
doaj   +3 more sources

Necessary and sufficient conditions for boundedness of commutators of maximal function on the $ p $-adic vector spaces

AIMS Mathematics, 2023
In this paper, we first show that the $ p $-adic version of maximal function $ \mathcal{M}_{L\log L}^{p} $ is equivalent to the maximal function $ \mathcal{M}^{p}(\mathcal{M}^{p}) $ and that the class of functions for which the maximal commutators and ...
Qianjun He, Xiang Li
doaj   +1 more source

WEIGHTED VARIABLE HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES

Проблемы анализа, 2022
We introduce the weighted variable Hardy space 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛) associated with the operator 𝐿, which has a bounded holomorphic functional calculus and fulfills the Davies-Gaffney estimates. More precisely, we establish the molecular characterization
B. Laadjal, K. Saibi, O. Melkemi, Z. Mokhtari   +3 more
doaj   +1 more source

Maximal Function Characterizations of Hardy Spaces on ${\mathbb{R}}^{\mathit{n}}$ with Pointwise Variable Anisotropy

Mathematics, 2021
In 2011, Dekel et al.
Aiting Wang, Wenhua Wang, Baode Li
doaj   +1 more source

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

Centered Hardy-Littlewood maximal function on product manifolds

Advances in Nonlinear Analysis, 2022
Let X be the direct product of Xi where Xi is smooth manifold for 1 ≤ i ≤ k. As is known, if every Xi satisfies the doubling volume condition, then the centered Hardy-Littlewood maximal function M on X is weak (1,1) bounded.
Zhao Shiliang
doaj   +1 more source

Some New Estimates for Maximal Commutator and Commutator of Maximal Function in $L_{p,\lambda}(\Gamma)$

Journal of New Theory, 2022
The theory of boundedness of classical operators of real analyses on Morrey spaces defined on Carleson curves has made significant progress in recent years as it allows for various applications.
Merve Esra Türkay
doaj   +1 more source

Gagliardo-Nirenberg-type inequalities using fractional Sobolev spaces and Besov spaces

Advanced Nonlinear Studies, 2023
Our main purpose is to establish Gagliardo-Nirenberg-type inequalities using fractional homogeneous Sobolev spaces and homogeneous Besov spaces. In particular, we extend some of the results obtained by the authors in previous studies.
Dao Nguyen Anh
doaj   +1 more source

The dimension-free estimate for the truncated maximal operator

Open Mathematics, 2022
We mainly study the dimension-free Lp{L}^{p}-inequality of the truncated maximal operator Mnaf(x)=supt>01∣Ba1∣∫Ba1f(x−ty)dy,{M}_{n}^{a}f\left(x)=\mathop{\sup }\limits_{t\gt 0}\frac{1}{| {B}_{a}^{1}| }\left|\mathop{\int }\limits_{{B}_{a}^{1}}f\left(x-ty){\
Nie Xudong, Wang Panwang
doaj   +1 more source

The Equivalence of Operator Norm between the Hardy-Littlewood Maximal Function and Truncated Maximal Function on the Heisenberg Group

Journal of Function Spaces, 2021
In this article, we define a kind of truncated maximal function on the Heisenberg space by Mγcfx ...
Xiang Li, Xingsong Zhang
doaj   +1 more source