The boundedness of Bessel-Riesz operators on generalized Morrey spaces

M. Idris and H. Gunawan and Eridani (2016) The boundedness of Bessel-Riesz operators on generalized Morrey spaces. Australian Journal of Mathematical Analysis and Applications, 13 (1). pp. 1-10. ISSN 1449-5910

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Official URL: https://arxiv.org/abs/1605.06723

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.

Item Type: Article
Uncontrolled Keywords: Bessel-Riesz operators, Hardy-Littlewood maximal operator, generalized Morrey spaces, Boundedness, Kernels.
Subjects: Q Science
Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: 08. Fakultas Sains dan Teknologi > Matematika
Creators:
CreatorsNIM
M. IdrisUNSPECIFIED
H. GunawanUNSPECIFIED
EridaniNIDN0001096904
Depositing User: Mr Vega Andi Budiman
Date Deposited: 08 Sep 2020 03:37
Last Modified: 08 Sep 2020 03:37
URI: http://repository.unair.ac.id/id/eprint/98534
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