The boundedness of Bessel-Riesz operators on generalized Morrey spaces

Published 22 May 2016 in math.AP | (1605.06723v1)

Abstract: 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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