Geodesic
On the compactness of integral operators with homogeneous kernels in local Morrey spaces
Matematičeskie zametki, Tome 116 (2024) no. 3, pp. 327-338 Cet article a éte moissonné depuis la source Math-Net.Ru

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In local Morrey spaces we consider an operator that is the product of a multidimensional integral operator and operators of multiplication by essentially bounded functions. At the same time, we assume that the kernel of the integral operator is homogeneous of degree $(-n)$ and invariant under all rotations. Sufficient conditions are obtained for the compactness of such an operator. We also study the compactness of an operator with a homogeneous kernel and bounded characteristic.
Keywords: local Morrey space, integral operator, homogeneous kernel, multiplication operator, compactness. 
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O. G. Avsyankin; S. S. Ashihmin. On the compactness of integral operators with homogeneous kernels in local Morrey spaces. Matematičeskie zametki, Tome 116 (2024) no. 3, pp. 327-338. http://geodesic.mathdoc.fr/item/MZM_2024_116_3_a0/

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