Results 11 to 20 of about 12,388,491 (323)

Centered Hardy-Littlewood maximal function on product manifolds

Advances in Nonlinear Analysis, 2022
Let X be the direct product of Xi where Xi is smooth manifold for 1 ≤ i ≤ k. As is known, if every Xi satisfies the doubling volume condition, then the centered Hardy-Littlewood maximal function M on X is weak (1,1) bounded.
Zhao Shiliang
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Some New Estimates for Maximal Commutator and Commutator of Maximal Function in $L_{p,\lambda}(\Gamma)$

Journal of New Theory, 2022
The theory of boundedness of classical operators of real analyses on Morrey spaces defined on Carleson curves has made significant progress in recent years as it allows for various applications.
Merve Esra Türkay
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Gagliardo-Nirenberg-type inequalities using fractional Sobolev spaces and Besov spaces

Advanced Nonlinear Studies, 2023
Our main purpose is to establish Gagliardo-Nirenberg-type inequalities using fractional homogeneous Sobolev spaces and homogeneous Besov spaces. In particular, we extend some of the results obtained by the authors in previous studies.
Dao Nguyen Anh
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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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The Equivalence of Operator Norm between the Hardy-Littlewood Maximal Function and Truncated Maximal Function on the Heisenberg Group

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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Muscle Strength Is Associated With Physical Function in Community-Dwelling Older Adults Receiving Home Care. A Cross-Sectional Study

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, Hilde Bremseth Bårdstu, Vidar Andersen, Marius Steiro Fimland, Marius Steiro Fimland, Truls Raastad, Atle Hole Saeterbakken   +6 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, Krause Ben, Lacey Michael T., Yang Fan   +3 more
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Morphologic Alterations Precede Functional Hepatic Impairment as Determined by 13C-Methacetin Liver Function Breath Test in Adult Fontan Patients

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, Peter Kramer, Hannes Sallmon, Niklas Jentsch, Marta Pileckaite, Friederike Danne, Marie Schafstedde, Marie Schafstedde, Marie Schafstedde, Hans-Peter Müller, Tobias Müller, Frank Tacke, Maximilian Jara, Martin Stockmann, Felix Berger, Felix Berger, Felix Berger, Stanislav Ovroutski   +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, J. Roos, A. Seeger, Po-Lam Yung   +3 more
semanticscholar   +1 more source

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, Jongchon Kim, Hong Wang, Ruixiang Zhang   +3 more
semanticscholar   +1 more source