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arXiv · 1605.06723

The boundedness of Bessel-Riesz operators on generalized Morrey spaces

M. Idris·H. Gunawan·Eridani
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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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M. Idris, H. Gunawan, Eridani. 2016-05-22. The boundedness of Bessel-Riesz operators on generalized Morrey spaces. https://doi.org/10.1088/1742-6596%2F893%2F1%2F012014

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