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

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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. 
@article{MZM_2017_102_4_a0,
     author = {O. G. Avsyankin},
     title = {On the {Compactness} of {Convolution-Type} {Operators} in {Morrey} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {483--489},
     publisher = {mathdoc},
     volume = {102},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_4_a0/}
}
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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/