Abstract
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.
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Original Russian Text © O. G. Avsyankin, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 4, pp. 483–489.
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Avsyankin, O.G. On the compactness of convolution-type operators in Morrey spaces. Math Notes 102, 437–443 (2017). https://doi.org/10.1134/S0001434617090152
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DOI: https://doi.org/10.1134/S0001434617090152