Results 111 to 120 of about 11,803 (243)

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

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

Novel insights into the precise boundedness and Lipschitz continuity of Hardy-type operators within central Morrey spaces

open access: yesAIMS Mathematics
In this study, precise evaluations of the optimal constants associated with weighted weak-type Hardy inequalities are established. The analysis extends to the computation of the weak-type operator norm of the fractional Hardy operator within the ...
Muhammad Asim, Ghada AlNemer
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

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