The boundedness of Bessel-Riesz operators on generalized Morrey spaces
classification
🧮 math.AP
keywords
operatorsboundednessbessel-rieszgeneralizedmorreynormspacesdecomposition
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In this paper, we prove the boundedness of Bessel-Riesz operators on generalized Morrey spaces. The proof uses the usual dyadic decomposition, a Hedberg-type inequality for the operators, and the boundedness of Hardy-Littlewood maximal operator. Our results reveal that the norm of the operators is dominated by the norm of the kernels.
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