| Yazarlar |
Elman J Ibrahımov
|
Ali AKBULUT
Ahi Evran Üniversitesi, Türkiye |
| Özet |
| In this paper we introduced and studied the maximal function (G-maximal function) and the Riesz potential (G-Riesz potential) generated by Gegenbauer differential operator G(gimel) = (x(2) - 1)(1/2) (-gimel) d/dx (x(2) - 1)(gimel) (+) (1/2) d/dx. The L-p,L-gimel boundedness of the G-maximal operator is obtained. Hardy-Littlewood-Sobolev theorem of G-Riesz potential on L-p,L-gimel spaces is established. (C) 2016 Ivane Javakhishvili Tbilisi State University. Published by Elsevier B.V. |
| Anahtar Kelimeler |
| G-BMO space | G-maximal function | G-Riesz potential |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | Diğer hakemli uluslarası dergilerde yayımlanan tam makale |
| Dergi Adı | TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE |
| Dergi ISSN | 2346-8092 |
| Dergi Tarandığı Indeksler | Zentralblatt für Mathematik, Mathematical Reviews |
| Makale Dili | İngilizce |
| Basım Tarihi | 09-2016 |
| Cilt No | 170 |
| Sayı | 2 |
| Sayfalar | 166 / 199 |
| Doi Numarası | 10.1016/j.trmi.2016.05.004 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S2346809216300307 |
| Atıf Sayıları | |
| WoS | 11 |
| SCOPUS | 14 |
| Google Scholar | 16 |
