The Hardy Littlewood Sobolev theorem for Riesz potential generated by Gegenbauer operator
Yazarlar (2)
Elman J Ibrahımov 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 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 01-09-2016 |
| Cilt / Sayı / Sayfa | 170 / 2 / 166–199 | DOI | 10.1016/j.trmi.2016.05.004 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S2346809216300307 | ||
| 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 λ=(x 2− 1) 1 2− λ d d x (x 2− 1) λ+ 1 2 d d x. The L p, λ boundedness of the G-maximal operator is obtained. Hardy–Littlewood–Sobolev theorem of G-Riesz potential on L p, λ spaces is established. |
| 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
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Scopus | 19 |
| Web of Science | 13 |
| Google Scholar | 22 |