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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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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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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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Averages Along the Primes: Improving and Sparse Bounds
Consider averages along the prime integers ℙ given ...
Han Rui +3 more
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Further results on maximal rainbow domination number [PDF]
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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Bilinear spherical maximal function [PDF]
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 $p<1$. We also obtain counterexamples that are asymptotically optimal with our positive results on certain indices as the dimension tends to infinity.
Barrionevo, J. A. +4 more
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Maximal functions: Spherical means [PDF]
Let [unk]( f )( x ) denote the supremum of the averages of f taken over all (surfaces of) spheres centered at x . Then f → [unk]( f ) is bounded on L p
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Maximal functions: Homogeneous curves [PDF]
Let t → γ( t ) be a homogeneous curve in R n . For suitable f , define [unk]( f )( x ) = sup h > 0 |(
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Maximal Function Pooling with Applications [PDF]
18 pages, 1 figure, to appear in Excursions in Harmonic Analysis, Volume ...
Czaja, Wojciech +3 more
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Multilinear spherical maximal function
In dimensions n ≥ 2 n\ge 2 we obtain L p 1 ( R n ) × ⋯ × L p m
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