Results 61 to 70 of about 1,166,647 (124)
A note on maximal operator on ℓ{pn} and Lp(x)(ℝ)
Journal of Function Spaces and Applications, 2007 We consider a discrete analogue of Hardy-Littlewood maximal operator on the generalized Lebesque space ℓ{pn} of sequences defined on ℤ. It is known a necessary and sufficient condition P which guarantees an existence of a real number p>1 such that the ...
Aleš Nekvinda
doaj +1 more source
Subsets of Euclidean space with nearly maximal Gowers norms [PDF]
arXiv, 2015 A set subset of Euclidean space whose indicator function has maximal Gowers norm, among all sets of equal measure, is an ellipsoid up to Lebesgue null sets. If the indicator function has nearly maximal Gowers norm then the set nearly coincides with an ellipsoid.
arxiv
The Pulmonary Function and Respiratory Muscle Strength in Thai Obese Children
Siriraj Medical Journal, 2007 Objective: This study was to compare the pulmonary function, respiratory muscle strength, and physical activity level between obese and non-obese children and to determine the correlation between pulmonary function, respiratory muscle strength and ...
Noppawan Charususin +3 more
doaj
BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions
Journal of Function Spaces and Applications, 2012 Let {𝜑𝛼𝑛}𝑛∈ℕ be the Laguerre functions of Hermite type with index 𝛼. These are eigenfunctions of the Laguerre differential operator 𝐿𝛼=1/2(−𝑑2/𝑑𝑦2+𝑦2+1/𝑦2(𝛼2−1/4)). In this paper, we investigate the boundedness of the Hardy-Littlewood maximal function,
Li Cha, Heping Liu
doaj +1 more source
The variation of the maximal function of a radial function [PDF]
arXiv, 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 variation of the function itself.
arxiv
Factorized Mutual Information Maximization [PDF]
arXiv, 2019 We investigate the sets of joint probability distributions that maximize the average multi-information over a collection of margins. These functionals serve as proxies for maximizing the multi-information of a set of variables or the mutual information of two subsets of variables, at a lower computation and estimation complexity.
arxiv
SensorsMidlife risk factors such as type 2 diabetes mellitus (T2DM) confer a significantly increased risk of cognitive impairment in later life with executive function, memory, and attention domains often affected first.
Laura Morrison +9 more
doaj +1 more source
Weighted estimates for lacunary maximal functions on homogeneous groups [PDF]
arXivIn this article, we study weighted estimates for a general class of lacunary maximal functions on homogeneous groups. As an application we derive improved weighted estimates for the lacunary maximal function associated to the Kor\'anyi spherical means as well as for the lacunary maximal function associated to codimension two spheres in the Heisenberg ...
arxiv
On weighted dyadic Carleson's inequalities
Journal of Inequalities and Applications, 2001 We give an alternate proof of weighted dyadic Carleson's inequalities which are essentially proved by Sawyer and Wheeden. We use the Bellman function approach of Nazarov and Treil.
Tachizawa K
doaj
Hölder Quasicontinuity in Variable Exponent Sobolev Spaces
Journal of Inequalities and Applications, 2007 We show that a function in the variable exponent Sobolev spaces coincides with a Hölder continuous Sobolev function outside a small exceptional set.
Kinnunen Juha +2 more
doaj