Results 41 to 50 of about 1,166,647 (124)

Quantitative description of upper extremity function and activity of people with spinal muscular atrophy

open access: yesJournal of NeuroEngineering and Rehabilitation, 2020
Background Therapeutic management of the upper extremity (UE) function of people with spinal muscular atrophy (SMA) requires sensitive and objective assessment.
Mariska M. H. P. Janssen   +2 more
doaj   +1 more source

On a necessary condition for belonging of a function to periodic generalized Nikol’sky-Besov-Morrey space in terms of strong summability of Fourier series

open access: yesҚарағанды 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
doaj  

Bloom-type two-weight inequalities for commutators of maximal functions

open access: yesAnalysis and Geometry in Metric Spaces
We study Bloom-type two-weight inequalities for commutators of the Hardy-Littlewood maximal function and sharp maximal function. Some necessary and sufficient conditions are given to characterize the two-weight inequalities for such commutators.
Zhang Pu, Fan Di
doaj   +1 more source

Limiting Weak Type Estimate for Capacitary Maximal Function [PDF]

open access: yesarXiv, 2012
A capacitary analogue of the limiting weak type estimate of P. Janakiraman for the Hardy-Littlewood maximal function of an L1-function is discovered.
arxiv  

Estimates for Bellman functions related to dyadic-like maximal operators on weighted spaces [PDF]

open access: yesarXiv, 2015
We provide some new estimates for Bellman type functions for the dyadic maximal opeator on $R^n$ and of maximal operators on martingales related to weighted spaces. Using a type of symmetrization principle, introduced for the dyadic maximal operator in earlier works of the authors we introduce certain conditions on the weight that imply estimate for ...
arxiv  

The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces

open access: yesJournal of Function Spaces, 2014
The aim of this paper is to prove the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces and multilinear maximal operator on multiple weighted Morrey spaces. In particular, the result includes the Komori-Shirai theorem and the
Takeshi Iida
doaj   +1 more source

Hölder Quasicontinuity in Variable Exponent Sobolev Spaces

open access: yesJournal 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.
Katja Tuhkanen   +2 more
doaj   +1 more source

Maximal potentials, maximal singular integrals, and the spherical maximal function [PDF]

open access: yesarXiv, 2013
We introduce a notion of maximal potentials and we prove that they form bounded operators from $L^p$ to the homogeneous Sobolev space $\dot{W}^{1,p}$ for all $n/(n-1)
arxiv  

Vector-Valued Inequalities in the Morrey Type Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2014
We will obtain the strong type and weak type estimates for vector-valued analogues of classical Hardy-Littlewood maximal function, weighted maximal function, and singular integral operators in the weighted Morrey spaces Lp,κ(w) when 1 ...
Hua Wang
doaj   +1 more source

The sum of a maximally monotone linear relation and the subdifferential of a proper lower semicontinuous convex function is maximally monotone [PDF]

open access: yesarXiv, 2010
The most important open problem in Monotone Operator Theory concerns the maximal monotonicity of the sum of two maximally monotone operators provided that Rockafellar's constraint qualification holds. In this paper, we prove the maximal monotonicity of $A+\partial f$ provided that $A$ is a maximally monotone linear relation, and $f$ is a proper ...
arxiv  

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