| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
E. J. Ibrahimov
|
| Özet |
| In this paper we study the Gegenbauer-Riesz potential I-G(alpha) (G-Riesz potential) generated by Gegenbauer differential operator G(lambda)= (x(2) - 1)(1/2-lambda) d/dx (x(2) - 1)(lambda+1/2) d/dx .We prove that the operator I-G(alpha) is bounded from the modified Morrey space (L) over tilde (1,lambda,gamma)(R+) to the weak modified Morrey space W (L) over tilde (q,lambda,gamma)(R+) if and only if alpha/2 lambda+1 <= 1- 1/q <= alpha/2 lambda+1-gamma, for 1 < q < infinity and from (L) over tilde (p,lambda,gamma)(R+) to (L) over tilde (q,lambda,gamma) if and only if alpha/2 lambda+1 <= 1/p - 1/q <= alpha/2 lambda+1-gamma for 1 < p < q < infinity. Obtained results are the analogue of the results taken in [6]. |
| Anahtar Kelimeler |
| Gegenbauer differential operator | Gegenbauer-Riesz potential | Modified Morrey space | Hardy-Littlewood-Sobolev inequality |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
| Dergi Adı | TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE |
| Dergi ISSN | 2346-8092 |
| Makale Dili | İngilizce |
| Basım Tarihi | 04-2019 |
| Cilt No | 173 |
| Sayı | 1 |
| Sayfalar | 37 / 52 |
