Necessary and sufficient conditions for the boundedness of B-Riesz potential in the B-Morrey spaces
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Javanshir J. Hasanov
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Analysis and Applications (Q1) | ||
| Dergi ISSN | 0022-247X Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 11-2008 |
| Cilt / Sayı / Sayfa | 347 / 1 / 113–122 | DOI | 10.1016/j.jmaa.2008.03.077 |
| Makale Linki | https://www.sciencedirect.com/science/article/pii/S0022247X08003582 | ||
| Özet |
| We consider the generalized shift operator, associated with the Laplace–Bessel differential operator ΔB=∑i=1n∂2∂xi2+∑i=1kγixi∂∂xi. The maximal operator Mγ (B-maximal operator) and the Riesz potential Iγα (B-Riesz potential), associated with the generalized shift operator are investigated. At first, we prove that the B-maximal operator Mγ is bounded from the B-Morrey space Lp,λ,γ to Lp,λ,γ for all 1 |
| Anahtar Kelimeler |
| B-maximal operator | B-Morrey space | B-Riesz potential | Hardy-Littlewood-Sobolev-Morrey type estimate |