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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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The variation of the maximal function of a radial function [PDF]
Arkiv för Matematik, 2017 We study the problem concerning the variation of the Hardy-Littlewood maximal function in higher dimensions. As the main result, we prove that the variation of the non-centered Hardy-Littlewood maximal function of a radial function is comparable to the ...
Hannes Luiro
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Maximality In Function Algebras [PDF]
Canadian Journal of Mathematics, 1970 In this paper we prove that the proper Dirichlet subalgebras of the disc algebra discovered by Browder and Wermer [1] are maximal subalgebras of the disc algebra (Theorem 2). We also give an extension to general function algebras of a theorem of Rudin [4] on the existence of maximal subalgebras of C(X).
Robert George Blumenthal
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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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An Extended Inequality for the Maximal Function [PDF]
Proceedings of the American Mathematical Society, 1975 Fefferman and Stein [3] have proved an LP inequality for the Hardy-Littlewood maximal function applied to functions taking values in a sequence space lI'. This note extends their theorem to functions taking values in a mixed L& space. An application to mixed estimates for Riesz potentials is given. 1. Notation. Let k = (kl, ...
Richard J. Bagby
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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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Comparison of respiratory muscle activities and cardiovascular function during different breathing types in healthy adults: Costal breathing, flow incentive spirometry, and volume incentive spirometry. [PDF]
PLoS ONEBackgroundVarious breathing exercises are used to enhance lung function. However, many patients have reported experiencing breathlessness and an increased work of breathing during their use, but evidence supporting this is limited.
Preeyaphorn Songsorn +6 more
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Sparse bounds for the bilinear spherical maximal function [PDF]
Journal of the London Mathematical Society, 2022 We derive sparse bounds for the bilinear spherical maximal function in any dimension d⩾1$d\geqslant 1$ . When d⩾2$d\geqslant 2$ , this immediately recovers the sharp Lp×Lq→Lr$L^p\times L^q\rightarrow L^r$ bound of the operator and implies quantitative ...
Tainara Borges +4 more
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Cones generated by a generalized fractional maximal function [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The paper considers the space of generalized fractional-maximal function, constructed on the basis of a rearrangement-invariant space. Two types of cones generated by a nonincreasing rearrangement of a generalized fractional-maximal function and ...
N.А. Bokayev +2 more
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