The boundedness of Bessel-Riesz operators on generalized Morrey spaces
| Main Authors: | M. Idris, H. Gunawan, Eridani |
|---|---|
| Format: | Article PeerReviewed Image Book |
| Bahasa: | eng |
| Terbitan: |
Austral Internet Publishing
, 2016
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| Subjects: | |
| Online Access: |
http://repository.unair.ac.id/98534/1/C07_Abstract.pdf http://repository.unair.ac.id/98534/2/C07_%28Fulltext%29_Q4%20%280.18%29%20%283%29%20Int.pdf http://repository.unair.ac.id/98534/3/C07_Review%20dan%20Validasi.pdf http://repository.unair.ac.id/98534/4/C07_%28Similarity%29_THE%20BOUNDEDNESS%20OF%20BESSEL-RIESZ%20OPERATORS.pdf http://repository.unair.ac.id/98534/ https://arxiv.org/abs/1605.06723 |
Daftar Isi:
- 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.