Results 1 to 10 of about 1,683,952 (323)

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

Mathematics, 2021
In 2011, Dekel et al.
Aiting Wang, Wenhua Wang, Baode Li
doaj   +2 more sources

Generalization and Modification of Hardy-Littlewood Maximal Functions

Journal of Applied Sciences and Environmental Management, 2018
The purpose of this paper is to provide the different types of Hardy-Littlewood Maximal Functions, the relationship between them and the corresponding extension of ℝn of the Hardy-Littlewood maximal function.
HS Adewinbi, OJ Peter
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Fractional Maximal Functions in Metric Measure Spaces

Analysis and Geometry in Metric Spaces, 2013
We study the mapping properties of fractional maximal operators in Sobolev and Campanato spaces in metric measure spaces. We show that, under certain restrictions on the underlying metric measure space, fractional maximal operators improve the Sobolev ...
Heikkinen Toni, Lehrbäck Juha, Nuutinen Juho, Tuominen Heli   +3 more
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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
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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
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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
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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
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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
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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
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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
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