The Hardy Littlewood Sobolev theorem for Riesz potential generated by Gegenbauer operator
Yazarlar (2)
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(Diğer hakemli uluslarası dergilerde yayınlanan tam makale)
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| Dergi Adı | Transactions of A Razmadze Mathematical Institute | ||
| Dergi ISSN | 2346-8092 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | Zentralblatt für Mathematik, Mathematical Reviews | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2016 |
| Cilt / Sayı / Sayfa | 170 / 2 / 166–199 | DOI | 10.1016/j.trmi.2016.05.004 |
| Makale Linki | https://doi.org/10.1016/j.trmi.2016.05.004 | ||
| 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 |
Science Direct
The Hardy Littlewood Sobolev theorem for Riesz potential generated by Gegenbauer operator
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| WoS | 13 |
| SCOPUS | 17 |
| Google Scholar | 19 |