Results 1 to 10 of about 147 (136)

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
doaj   +3 more sources

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, Xudong Nie, Di Wu, Dunyan Yan   +3 more
doaj   +3 more sources

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

The non-commutative hardy-littlewood maximal operator on non-commutative lorentz spaces

Вестник КазНУ. Серия математика, механика, информатика, 2020
In this work we study the non-commutative Hardy-Littlewoodmaximal operator on Lorentz spacesofτ-measurable operators. Non-commutative maximal inequalities were studied, in particular,in [1–3].
N.T. Bekbayev, K.S. Tulenov
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces

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
doaj   +1 more source

A Weak Type Vector-Valued Inequality for the Modified Hardy–Littlewood Maximal Operator for General Radon Measure on ℝn

Analysis and Geometry in Metric Spaces, 2020
The aim of this paper is to prove the weak type vector-valued inequality for the modified Hardy– Littlewood maximal operator for general Radon measure on ℝn. Earlier, the strong type vector-valued inequality for the same operator and the weak type vector-
Sawano Yoshihiro
doaj   +1 more source

A Note on the Regularity of the Two-Dimensional One-Sided Hardy-Littlewood Maximal Function

Journal of Function Spaces, 2018
We investigate the regularity properties of the two-dimensional one-sided Hardy-Littlewood maximal operator. We point out that the above operator is bounded and continuous on the Sobolev spaces Ws,p(R2) for 0≤s≤1 and ...
Feng Liu, Lei Xu
doaj   +1 more source

BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions

Journal of Function Spaces and Applications, 2012
Let {𝜑𝛼𝑛}𝑛∈ℕ be the Laguerre functions of Hermite type with index 𝛼. These are eigenfunctions of the Laguerre differential operator 𝐿𝛼=1/2(−𝑑2/𝑑𝑦2+𝑦2+1/𝑦2(𝛼2−1/4)). In this paper, we investigate the boundedness of the Hardy-Littlewood maximal function,
Li Cha, Heping Liu
doaj   +1 more source