Results 11 to 20 of about 7,070 (191)
The Hardy–Littlewood Maximal Operator on Discrete Morrey Spaces [PDF]
Mediterranean Journal of Mathematics, 2019 We discuss the Hardy-Littlewood maximal operator on discrete Morrey spaces of arbitrary dimension. In particular, we obtain its boundedness on the discrete Morrey spaces using a discrete version of the Fefferman-Stein inequality. As a corollary, we also obtain the boundedness of some Riesz potentials on discrete Morrey spaces.
Hendra Gunawan, Christopher Schwanke
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Sharp Inequalities for the Hardy–Littlewood Maximal Operator on Finite Directed Graphs
Mathematics, 2021 In this paper, we introduce and study the Hardy–Littlewood maximal operator MG→ on a finite directed graph G→. We obtain some optimal constants for the ℓp norm of MG→ by introducing two classes of directed graphs.
Xiao Zhang, Feng Liu, Huiyun Zhang
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Non-commutative Hardy–Littlewood maximal operator on symmetric spaces of $$\tau $$-measurable operators [PDF]
Annals of Functional Analysis, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nessipbayev, Yerlan, Tulenov, K.
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Best constants for the Hardy–Littlewood maximal operator on finite graphs
Journal of Mathematical Analysis and Applications, 2016 We study the behavior of averages for functions defined on finite graphs $G$, in terms of the Hardy-Littlewood maximal operator $M_G$. We explore the relationship between the geometry of a graph and its maximal operator and prove that $M_G$ completely determines $G$ (even though embedding properties for the graphs do not imply pointwise inequalities ...
Javier Soria, Pedro Tradacete
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Endpoint Sobolev bounds for fractional Hardy–Littlewood maximal operators [PDF]
Mathematische Zeitschrift, 2022 AbstractLet $$0<\alpha <d$$ 0 < α < d and $$1\le p<d/\alpha $$ 1 ≤ p <
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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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Norm inequalities for the minimal and maximal operator, and differentiation of the integral [PDF]
, 1997 We study the weighted norm inequalities for the minimal operator, a new operator analogous to the Hardy-Littlewood maximal operator which arose in the study of reverse Hölder inequalities.
Cruz-Uribe, D. +3 more
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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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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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Density of Analytic Polynomials in Abstract Hardy Spaces [PDF]
, 2017 Let $X$ be a separable Banach function space on the unit circle $\mathbb{T}$ and $H[X]$ be the abstract Hardy space built upon $X$. We show that the set of analytic polynomials is dense in $H[X]$ if the Hardy-Littlewood maximal operator is bounded on the
Karlovich, Alexei Yu.
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