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On the compactness of convolution-type operators in Morrey spaces

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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… Click to show full 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.

Keywords: operators morrey; compactness convolution; convolution; type operators; operator; convolution type

Journal Title: Mathematical Notes
Year Published: 2017

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