Results 81 to 90 of about 11,286,440 (253)

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

Journal 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

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

Journal 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, Laura H. C. Peeters, Imelda J. M. de Groot   +2 more
doaj   +1 more source

Local Good- Estimate for the Sharp Maximal Function and Weighted Morrey Space

, 2015
We give a characterization of weighted Morrey space by using Fefferman and Stein’s sharp maximal function. For this purpose, we consider a local good- inequality.
Y. Komori‐Furuya
semanticscholar   +1 more source

Maximal Functions Associated to Filtrations

Journal of Functional Analysis, 2001
Let \((X,\mu)\) and \((Y,\nu)\) be arbitrary measure spaces. To any sequence of measurable subsets \(\{Y_n \}\) of \(Y\) and any bounded linear operator \(T: L^p(Y) \to L^q(X)\) one can associate the maximal operator \(T^*f(x)=\sup_n |T(f \cdot \chi_{Y_n})(x)|\), where \(\chi_{Y_n}\) designates the characteristic function of \(Y_n\). It is proved that \
Michael Christ, Alexander Kiselev
openaire   +2 more sources

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

Analysis 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

Matrix weights and a maximal function with exponent 3/2

Advanced Nonlinear Studies
We build an example of a simple sparse operator for which its norm with scalar A 2 weight has linear estimate in [w]A2 ${\left[w\right]}_{{A}_{2}}$ , but whose norm in matrix setting grows at least as [W]A23/2 ${\left[W\right]}_{{\mathbf{A}}_{2}}^{3/2}$
Treil Sergei, Volberg Alexander
doaj   +1 more source

Nonself-Adjoint Second-Order Difference Operators in Limit-Circle Cases

Abstract and Applied Analysis, 2012
We consider the maximal dissipative second-order difference (or discrete Sturm-Liouville) operators acting in the Hilbert space ℓ2𝑤(ℤ) (ℤ:={0,±1,±2,…}), that is, the extensions of a minimal symmetric operator with defect index (2,2) (in the Weyl ...
Bilender P. Allahverdiev
doaj   +1 more source

On the radial maximal function of distributions [PDF]

Pacific Journal of Mathematics, 1986
We show that if the radial maximal function of a distribution \(f\in {\mathcal D}(R^ n)'\) belongs to \(L^ p(R^ n)\), then f belongs to \(H^ p(R^ n)\). This gives an affirmative answer to the question posed by Aleksandov and Havin.
openaire   +4 more sources

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.
Katja Tuhkanen, Juha Kinnunen, Petteri Harjulehto   +2 more
doaj   +1 more source

Vector-Valued Inequalities in the Morrey Type Spaces

International 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