Results 61 to 70 of about 11,286,440 (253)
On the regularity of the maximal function of a BV function [PDF]
Journal of Differential Equations, 2021 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, we are in particular able to show that the non-centered maximal function of a set of finite ...
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Maximal 2-rainbow domination number of a graph
AKCE International Journal of Graphs and Combinatorics, 2016 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∈V(G) with f(v)=0̸ the condition ⋃u∈N(v)f(u)={1,2} is fulfilled, where N(v) is the open ...
H. Abdollahzadeh Ahangar +3 more
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Effects of High-Intensity Interval Training versus Continuous Training on Physical Fitness, Cardiovascular Function and Quality of Life in Heart Failure Patients. [PDF]
PLoS ONE, 2015 Physical fitness is an important prognostic factor in heart failure (HF). To improve fitness, different types of exercise have been explored, with recent focus on high-intensity interval training (HIT).
Nathalie M M Benda +8 more
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Lp Smoothness on Weighted Besov–Triebel–Lizorkin Spaces in terms of Sharp Maximal Functions
Journal of Mathematics, 2021 It is known, in harmonic analysis theory, that maximal operators measure local smoothness of Lp functions. These operators are used to study many important problems of function theory such as the embedding theorems of Sobolev type and description of ...
Ferit Gürbüz, Ahmed Loulit
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Regularity of the local fractional maximal function [PDF]
, 2013 This paper studies smoothing properties of the local fractional maximal operator, which is defined in a proper subdomain of the Euclidean space. We prove new pointwise estimates for the weak gradient of the maximal function, which imply norm estimates in
Toni Heikkinen +3 more
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Weighted estimates for the multisublinear maximal function [PDF]
, 2013 A formulation of the Carleson embedding theorem in the multilinear setting is proved which allows obtaining a multilinear analogue of Sawyer’s two weight theorem for the multisublinear maximal function $$\mathcal{M }$$M introduced by Lerner et al.
Wei Chen, W. Damián
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A Note on the Strong Maximal Function [PDF]
Proceedings of the American Mathematical Society, 1983 Given a nonnegative measurable function f f on R 2 {R^2} which is integrable over sets of finite measure, we construct a new function g g with the same distribution function as f f such that the strong maximal function of g g ...
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Қарағанды университетінің хабаршысы. Математика сериясы, 2016 This paper is dedicated to the investigation of strong summability in the generalized Morrey spaces. First, we study boundedness of the Hardy-Littlewood maximal function on generalized Morrey spaces.
Zh.Zh. Baituyakova
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On the integrability of the maximal ergodic function [PDF]
Proceedings of the American Mathematical Society, 1980 Let G = R d G = {{\mathbf {R}}^d} or Z d {{\mathbf {Z}}^d} and consider an ergodic measure-preserving action of G on
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On the variation of the Hardy-Littlewood maximal function [PDF]
, 2012 We show that a function $ f $ of bounded variation satisfies $$ \Var Mf \leq C \Var f $$ where $ Mf $ is the centered Hardy-Littlewood maximal function of $ f $. Consequently, the operator $ f \mapsto (Mf)' $ is bounded from $ W^{1,1}(R) $ to $ L^{1}(R) $
Ondvrej Kurka
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