Results 101 to 110 of about 9,316 (195)

Necessary and sufficient conditions for the boundedness of the anisotropic Riesz potential in anisotropic modified Morrey spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
We prove that the anisotropic fractional maximal operator Mα,σ and the anisotropic Riesz potential operator Iα,σ, 0 < α < ∣σ∣ are bounded from the anisotropic modified Morrey space L̃1,b,σ(Rn) to the weak anisotropic modified Morrey space WL̃q,b,σ(Rn) if
Dzhabrailov Malik S.   +1 more
doaj   +1 more source

Hardy-Littlewood-Sobolev Theorem for Bourgain-Morrey Spaces and Approximation

open access: yesEuropean Journal of Mathematical Analysis
In this paper, we establish an extension of the Hardy-Littlewood-Sobolev theorem to the setting of the Bourgain-Morrey space Mαq,p(Rd) (1 ≤ q, p, α ≤ ∞), which theory goes back to Bourgain in 1991.
Nouffou Diarra
doaj   +1 more source

Existence of Solutions for a Coupled Hadamard Fractional System of Integral Equations in Local Generalized Morrey Spaces

open access: yesAxioms
This paper introduces a new measure of non-compactness within a bounded domain of RN in the generalized Morrey space. This measure is used to establish the existence of solutions for a coupled Hadamard fractional system of integral equations in ...
Asra Hadadfard   +2 more
doaj   +1 more source

On isomorphism of two bases in Morrey-Lebesgue type spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2016
Double system of exponents with complex-valued coefficients is considered. Under some conditions on the coefficients, we prove that if this system forms a basis for the Morrey-Lebesgue type space on $left[-pi , pi right]$, then it is isomorphic to the ...
Fatima. A. Guliyeva   +1 more
doaj  

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  

Besov-Morrey spaces associated with Hermite operators and applications to fractional Hermite equations

open access: yesElectronic Journal of Differential Equations, 2018
The purpose of this article is to establish the molecular decomposition of the homogeneous Besov-Morrey spaces associated with the Hermite operator $\mathbb{H} = -\Delta+|x|^2$ on the Euclidean space $\mathbb{R}^n$.
Nguyen Anh Dao   +2 more
doaj  

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