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AIMS Mathematics, 2023 In this paper, we first show that the $ p $-adic version of maximal function $ \mathcal{M}_{L\log L}^{p} $ is equivalent to the maximal function $ \mathcal{M}^{p}(\mathcal{M}^{p}) $ and that the class of functions for which the maximal commutators and ...
Qianjun He, Xiang Li
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Maximal Function Characterizations of Hardy Spaces on
Mathematics, 2021 In 2011, Dekel et al.
Aiting Wang, Wenhua Wang, Baode Li
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Maximal Plurifinely Plurisubharmonic functions [PDF]
Potential Analysis, 2014 The main purpose of this paper is to introduce and study the notion of plurifinely-maximal plurifinely plurisubharmonic functions, which extends the notion of maximal plurisubharmonic functions on a Euclidean domain to a plurifine domain of C^n in a ...
Kadiri, Mohamed El, Smit, Iris Marjan
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Bilinear Spherical Maximal Function [PDF]
Mathematical Research Letters, 2017 We obtain boundedness for the bilinear spherical maximal function in a range of exponents that includes the Banach triangle and a range of $L^p$ with ...
José A. Barrionuevo +4 more
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Multilinear spherical maximal function [PDF]
Proceedings of the American Mathematical Society, 2019 In dimensions n ≥ 2 n\ge 2 we obtain L p 1 ( R n )
Georgios Dosidis
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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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Inequalities for Some Maximal Functions. II [PDF]
Transactions of the American Mathematical Society, 1986 Let S S be a smooth compact hypersurface in R n {{\mathbf {R}}^n} , and let μ \mu be a measure on S S , absolutely continuous with respect to surface measure. For t t in
Michael Cowling, Giancarlo Mauceri
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The multilinear strong maximal function [PDF]
Journal of Geometric Analysis, 2010 A multivariable version of the strong maximal function is introduced and a sharp distributional estimate for this operator in the spirit of the Jessen, Marcinkiewicz, and Zygmund theorem is obtained.
Grafakos, Loukas +3 more
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Weighted estimates for the multisublinear maximal function [PDF]
Rendiconti del circolo matematico di Palermo, 2013 A formulation of the Carleson embedding theorem in the multilinear setting is proved which allows obtaining a multilinear analogue of Sawyer’s two weight theorem for the multisublinear maximal function M\documentclass[12pt]{minimal} \usepackage{amsmath} \
Wei Chen, W. Damián
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Poincaré inequalities for the maximal function [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2016 We study generalized Poincar\'e inequalities. We prove that if a function satisfies a suitable inequality of Poincar\'e type, then the Hardy-Littlewood maximal function also obeys a meaningful estimate of similar form.
Olli Saari
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