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Double Points Local Hardy-Littlewood Maximal Operator [PDF]
Abstract and Applied Analysis, 2013 A double points local Hardy-Littlewood maximal operator Ma,b,k,loc is defined and investigated in Euclidean spaces. It is proved that Ma,b,k,loc is bounded on Lpw when p>1 and from L1w to L1,∞w with weight function w∈Aa,b,k,loc, the class of double ...
Futao Song, Na Ju
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A note on Hardy-Littlewood maximal operators [PDF]
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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A quantitative approach to weighted Carleson condition [PDF]
Concrete Operators, 2017 Quantitative versions of weighted estimates obtained by F. Ruiz and J.L. Torrea [30, 31] for the operator are obtained. As a consequence, some sufficient conditions for the boundedness of Min the two weight setting in the spirit of the results obtained ...
Rivera-Ríos Israel P.
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Regularity of the Hardy-Littlewood maximal operator on block decreasing functions [PDF]
Studia Mathematica, 2009 We study the Hardy-Littlewood maximal operator defined via an unconditional norm, acting on block decreasing functions. We show that the uncentered maximal operator maps block decreasing functions of special bounded variation to functions with integrable
Aldaz, J. M., Lazaro, J. Perez
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The Hardy-Littlewood maximal type operators between Banach function spaces [PDF]
Indiana University Mathematics Journal, 2012 We investigate variants of the maximal operator and show their applications to study boundedness of the classical Hardy-Littlewood maximal operator between weighted Banach function spaces which satisfy certain geometrical lattice conditions.
Mastylo, Mieczyslaw +1 more
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A note on boundedness of the Hardy-Littlewood maximal operator on Morrey spaces [PDF]
Mediterranean Journal of Mathematics, 2015 In this paper we prove that the Hardy-Littlewood maximal operator is bounded on Morrey spaces $\mathcal{M}_{1,\lambda}(\rn)$, $0 \le \la < n$ for radial, decreasing functions on $\rn$Comment: 7 ...
Gogatishvili, A., Mustafayev, R. Ch.
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BV continuity for the uncentered Hardy–Littlewood maximal operator [PDF]
Journal of Functional Analysis, 2021 We prove the continuity of the map $f \mapsto \widetilde{M}f$ from $BV(\mathbb{R})$ to itself, where $\widetilde{M}$ is the uncentered Hardy--Littlewood maximal operator. This answers a question of Carneiro, Madrid and Pierce.
González-Riquelme, Cristian +1 more
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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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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
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Eigenfunctions of the Hardy–Littlewood maximal operator [PDF]
Colloquium Mathematicum, 2010 We prove that peak shaped eigenfunctions of the one-dimensional uncentered Hardy--Littlewood maximal operator are symmetric and homogeneous. This implies that the norms of the maximal operator on L(p)spaces are not attained.
COLZANI, LEONARDO, Pérez Lázaro, J.
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