Results 21 to 30 of about 7,070 (191)
Local Hardy--Littlewood maximal operator in variable Lebesgue spaces [PDF]
Banach Journal of Mathematical Analysis, 2014 15 ...
Gogatishvili, A. +2 more
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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
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The boundedness of Bessel-Riesz operators on generalized Morrey spaces [PDF]
, 2016 In this paper, we prove the boundedness of Bessel-Riesz operators on generalized Morrey spaces. The proof uses the usual dyadic decomposition, a Hedberg-type inequality for the operators, and the boundedness of Hardy-Littlewood maximal operator.
Eridani, Gunawan, H., Idris, M.
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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
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On the regularity of maximal operators [PDF]
, 2008 We study the regularity of the bilinear maximal operator when applied to Sobolev functions, proving that it maps $W^{1,p}(\mathbb{R}) \times W^{1,q}(\mathbb{R}) \to W^{1,r}(\mathbb{R})$ with $1 1$.
Carneiro, Emanuel, Moreira, Diego
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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
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Norm inequalities for maximal operators
Journal of Inequalities and Applications, 2022 In this paper, we introduce a family of one-dimensional maximal operators M κ , m $\mathscr{M}_{\kappa ,m}$ , κ ≥ 0 $\kappa \geq 0$ and m ∈ N ∖ { 0 } $m\in \mathbb{N}\setminus \{0\}$ , which includes the Hardy–Littlewood maximal operator as a special ...
Salem Ben Said, Selma Negzaoui
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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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Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces
Journal of Function Spaces and Applications, 2013 We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan +3 more
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Sparse domination for the lattice Hardy–Littlewood maximal operator
Proceedings of the American Mathematical Society, 2018 We study the domination of the lattice Hardy--Littlewood maximal operator by sparse operators in the setting of general Banach lattices. We prove that the admissible exponents of the dominating sparse operator are determined by the $q$-convexity of the Banach lattice.
Hänninen, Timo S. (author) +1 more
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