Results 21 to 30 of about 12,719,951 (362)
The dimension-free estimate for the truncated maximal operator
Open Mathematics, 2022 We mainly study the dimension-free Lp{L}^{p}-inequality of the truncated maximal operator Mnaf(x)=supt>01∣Ba1∣∫Ba1f(x−ty)dy,{M}_{n}^{a}f\left(x)=\mathop{\sup }\limits_{t\gt 0}\frac{1}{| {B}_{a}^{1}| }\left|\mathop{\int }\limits_{{B}_{a}^{1}}f\left(x-ty){\
Nie Xudong, Wang Panwang
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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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Frontiers in Public Health, 2022 BackgroundHigher maximal- and explosive strength is associated with better physical function among older adults. Although the relationship between isometric maximal strength and physical function has been examined, few studies have included measures of ...
Hilde Bremseth Bårdstu +6 more
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Frontiers in Cardiovascular Medicine, 2021 Objectives: Fontan-associated liver disease (FALD) is the most common end-organ dysfunction affecting up to 70–80% of the Fontan population. The clinical significance of FALD is incompletely understood and no unambiguous correlation between hepatic ...
Anastasia Schleiger +17 more
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A maximal function for families of Hilbert transforms along homogeneous curves [PDF]
Mathematische Annalen, 2019 Let $$H^{(u)}$$ H ( u ) be the Hilbert transform along the parabola $$(t, ut^2)$$ ( t , u t 2 ) where $$u\in \mathbb {R}$$ u ∈ R . For a set U of positive numbers consider the maximal function $${\mathcal {H}}^U \,f= \sup \{|H^{(u)}\, f|: u\in U\}$$ H U ...
Shaoming Guo +3 more
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Averages Along the Primes: Improving and Sparse Bounds
Concrete Operators, 2020 Consider averages along the prime integers ℙ given ...
Han Rui +3 more
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A Kakeya maximal function estimate in four dimensions using planebrushes [PDF]
Revista matemática iberoamericana, 2019 We obtain an improved Kakeya maximal function estimate in $\mathbb{R}^4$ using a new geometric argument called the planebrush. A planebrush is a higher dimensional analogue of Wolff's hairbrush, which gives effective control on the size of Besicovitch ...
N. Katz, Joshua Zahl
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Further results on maximal rainbow domination number [PDF]
Transactions on Combinatorics, 2020 A 2-rainbow dominating function (2RDF) of a graph $G$ is a function $f$ from the vertex set $V(G)$ to the set of all subsets of the set $\{1,2\}$ such that for any vertex $v\in V(G)$ with $f(v)=\emptyset$ the condition $\bigcup_{u\in N(v)}f(u ...
Hossein Abdollahzadeh Ahangar
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Lower bounds for estimates of the Schrödinger maximal function [PDF]
, 2019 We give new lower bounds for $L^p$ estimates of the Schr\"odinger maximal function by generalizing an example of Bourgain.
Xiumin Du +3 more
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The variation of the maximal function of a radial function [PDF]
, 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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