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 | ||||||||
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| 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 |
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| Divisions: | 08. Fakultas Sains dan Teknologi > Matematika | ||||||||
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| 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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