Results 1 to 10 of about 146 (101)
A note on Hardy-Littlewood maximal operators
Journal of Inequalities and Applications, 2016 In this paper, we will prove that, for 1 < p < ∞ $1 ...
Mingquan Wei +3 more
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Variation Inequalities for the Hardy-Littlewood Maximal Function on Finite Directed Graphs
Mathematics, 2022 In this paper, the authors establish the bounds for the Hardy-Littlewood maximal operator defined on a finite directed graph G→ in the space BVp(G→) of bounded p-variation functions.
Feng Liu, Xiao Zhang
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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
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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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On the boundedness of the fractional maximal operator on global Orlicz-Morrey spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The article deals with the global Orlia-Morrey spaces GMΦ,ϕ,θ(Rn). We find sufficient conditions on pairs of functions (ϕ, η) and (Φ, Ψ), which ensure the boundedness of the fractional maximal operator Mα from GMΦ,ϕ,θ(Rn) in GMΨ,η,θ(Rn).
N.А. Bokayev, А.А. Khairkulova
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Kolyada inequality for partial moduli of smoothness of functions with lacunary Fourier coefficients [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022 The problem of estimating the moduli of smoothness of functions from $L_q$ in terms of moduli of smoothness from $L_p$ is well known. The initial stage in estimating the moduli of smoothness was the study of properties of functions from ...
Simonov, Boris V. +2 more
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A pointwise estimate for pseudo-differential operators
Bulletin of Mathematical Sciences, 2023 Let [Formula: see text] be a pseudo-differential operator defined by the symbol [Formula: see text] with [Formula: see text] [Formula: see text]. It is shown that if [Formula: see text], then the operator satisfies the following pointwise estimate: (Tau)♯
Guangqing Wang, Wenyi Chen
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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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BMO Functions Generated by AXℝn Weights on Ball Banach Function Spaces
Journal of Function Spaces, 2021 Let X be a ball Banach function space on ℝn. We introduce the class of weights AXℝn. Assuming that the Hardy-Littlewood maximal function M is bounded on X and X′, we obtain that BMOℝn=αlnω:α≥0,ω∈AXℝn.
Ruimin Wu, Songbai Wang
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Journal of Function Spaces, 2014 The aim of this paper is to prove the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces and multilinear maximal operator on multiple weighted Morrey spaces. In particular, the result includes the Komori-Shirai theorem and the
Takeshi Iida
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