Results 31 to 40 of about 33,958 (245)

Iterated discrete Hardy-type inequalities with three weights for a class of matrix operators

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
Iterated Hardy-type inequalities are one of the main objects of current research on the theory of Hardy inequalities. These inequalities have become well-known after study boundedness properties of the multidimensional Hardy operator acting from the ...
N.S. Zhangabergenova, A.M. Temirhanova
doaj   +1 more source

Two weight norm inequality for the fractional maximal operator and the fractional integral operator [PDF]

open access: yes, 1998
New su±cient conditions on the weight functions u(:) and v(:) are given in order that the fractional maximal [resp. integral] operator Ms [resp. Is], 0 · s < n, [resp.
Rakotondratsimba, Y.
core   +2 more sources

Boundedness of Multidimensional Dunkl-Hausdorff Operators

open access: yesJournal of Function Spaces, 2020
In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl ...
Radouan Daher, Faouaz Saadi
doaj   +1 more source

Solving Integral Representations Problems for the Stationary Schrödinger Equation

open access: yesAbstract and Applied Analysis, 2013
When solutions of the stationary Schrödinger equation in a half-space belong to the weighted Lebesgue classes, we give integral representations of them, which imply known representation theorems of classical harmonic functions in a half-space.
Yudong Ren
doaj   +1 more source

On the uniqueness of mild solutions for the parabolic-elliptic Keller-Segel system in the critical $ L^{p} $-space

open access: yesMathematics in Engineering, 2022
We are concerned with the uniqueness of mild solutions in the critical Lebesgue space $ L^{\frac{n}{2}}(\mathbb{R}^{n}) $ for the parabolic-elliptic Keller-Segel system, $ n\geq4 $.
Lucas C. F. Ferreira
doaj   +1 more source

Marcinkiewicz Integrals on Weighted Weak Hardy Spaces

open access: yesJournal of Function Spaces, 2014
We prove that, under the condition Ω∈Lipα, Marcinkiewicz integral μΩ is bounded from weighted weak Hardy space WHwpRn to weighted weak Lebesgue space WLwpRn for maxn/n+1/2,n/n ...
Yue Hu, Yueshan Wang
doaj   +1 more source

Space-time decay rate of high-order spatial derivative of solution for 3D compressible Euler equations with damping

open access: yesElectronic Research Archive, 2023
We are concerned with the space-time decay rate of high-order spatial derivatives of solutions for 3D compressible Euler equations with damping. For any integer $ \ell\geq3 $, Kim (2022) showed the space-time decay rate of the $ k(0\leq k\leq \ell-2 ...
Qin Ye
doaj   +1 more source

Bases of exponents with a piecewise linear phase in generalized weighted Lebesgue space

open access: yesJournal of Inequalities and Applications, 2016
The perturbed system of exponents with a piecewise linear phase, consisting of eigenfunctions of a discontinuous differential operator, is considered in this work.
Tofig Najafov   +2 more
doaj   +1 more source

The Daugavet property in the Musielak-Orlicz spaces

open access: yes, 2014
We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
core   +1 more source

The random convolution sampling stability in multiply generated shift invariant subspace of weighted mixed Lebesgue space

open access: yesAIMS Mathematics, 2022
In this paper, we mainly investigate the random convolution sampling stability for signals in multiply generated shift invariant subspace of weighted mixed Lebesgue space.
Suping Wang
doaj   +1 more source

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