Geodesic
On the Compactness of Convolution-Type Operators in Morrey Spaces
Matematičeskie zametki, Tome 102 (2017) no. 4, pp. 483-489.

Voir la notice de l'article provenant de la source Math-Net.Ru

In a Morrey space, the product of the convolution operator with summable kernel and the operator of multiplication by an essentially bounded function is considered. Sufficient conditions for such a product to be compact are obtained. In addition, it is shown that the commutator of the convolution operator and the operator of multiplication by a function of weakly oscillating type is compact in a Morrey space.
Keywords: convolution operator, multiplication operator, Morrey space, commutator, compactness. 
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O. G. Avsyankin. On the Compactness of Convolution-Type Operators in Morrey Spaces. Matematičeskie zametki, Tome 102 (2017) no. 4, pp. 483-489. http://geodesic.mathdoc.fr/item/MZM_2017_102_4_a0/

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