| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye |
E. J. Ibrahimov
Institute of Mathematics and Mechanics Ministry of Science and Education Republic of Azerbaijan, Azerbaijan |
|
S. E. Ekincioglu
Dumlupinar Üniversitesi, Turkey |
|
S. Ar Jafarova
Azerbaijan State University of Economics (UNEC), Azerbaijan |
| Özet |
| In this paper we prove an O’Neil inequality for the convolution operator (G-convolution) associated with the Gegenbauer differential operator Gλ. By using an O’Neil inequality for rearrangements we obtain a pointwise rearrangement estimate of the G-convolution. As an application, we obtain necessary and sufficient conditions on the parameters for the boundedness of the G-fractional maximal and G-fractional integral operators from the spaces Lp,λ to Lq,λ and from the spaces L1,λ to the weak spaces WLp,λ. |
| Anahtar Kelimeler |
| G-convolution | G-fractional in-tegral | G-fractional maximal function | Gegenbauer differential operator | O’Neil inequality |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
| Dergi Adı | Journal of Mathematical Study |
| Dergi ISSN | 2617-8702 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2020 |
| Cilt No | 53 |
| Sayı | 1 |
| Sayfalar | 90 / 124 |
| Doi Numarası | 10.4208/jms.v53n1.20.05 |
