Results 21 to 30 of about 14,117,029 (318)
On the regularity of the maximal function of a BV function [PDF]
, 2020 We show that the non-centered maximal function of a BV function is quasicontinuous. We also show that \emph{if} the non-centered maximal functions of an SBV function is a BV function, then it is in fact a Sobolev function. Using a recent result of Weigt,
P. Lahti
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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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On the lacunary spherical maximal function on the Heisenberg group [PDF]
Journal of Functional Analysis, 2019 In this paper we investigate the $L^p$ boundedness of the lacunary maximal function $ M_{\Ha}^{lac} $ associated to the spherical means $ A_r f$ taken over Koranyi spheres on the Heisenberg group. Closely following an approach used by M.
P. Ganguly, S. Thangavelu
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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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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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Regularity of the centered fractional maximal function on radial functions [PDF]
, 2019 We study the regularity properties of the centered fractional maximal function $M_{\beta}$. More precisely, we prove that the map $f \mapsto |\nabla M_\beta f|$ is bounded and continuous from $W^{1,1}(\mathbb{R}^d)$ to $L^q(\mathbb{R}^d)$ in the endpoint
David Beltran, Jos'e Madrid
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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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Maximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applications [PDF]
Journal of Functional Analysis, 2018 We prove nontangential and radial maximal function characterizations for Hardy spaces associated to a non-negative self-adjoint operator satisfying Gaussian estimates on a space of homogeneous type with finite measure.
T. A. Bui, X. Duong, Fu Ken Ly
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Maximal functions: Spherical means [PDF]
Proceedings of the National Academy of Sciences, 1976 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
openaire +2 more sources