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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

Bilinear θ-type Calderón–Zygmund operators and its commutator on generalized weighted Morrey spaces over RD-spaces

open access: yesResults in Applied Mathematics
An RD-space X is a space of homogeneous type in the sense of Coifman and Weiss with the extra property that a reverse doubling property holds in X.
Suixin He, Shuangping Tao
doaj  

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