| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye |
A. Eroglu
Niğde Ömer Halisdemir University, Turkey |
|
Y. Y. Mammadov
Institute of Mathematics and Mechanics Ministry of Science and Education Republic of Azerbaijan, Azerbaijan |
| Özet |
| We consider the Riesz potential operator Iα, on the Heisenberg group Hn in generalized Morrey spaces Mp,φ(Hn) and find conditions for the boundedness of Iα as an operator from Mp,φ1(Hn) to Mp,φ2(Hn), 1 < p < ∞, and from Mp,φ1(Hn) to a weak Morrey space WM1,φ2(Hn). The boundedness conditions are formulated it terms of Zygmund type integral inequalities. Based on the properties of the fundamental solution of the sub-Laplacian on Hn, we prove two Sobolev-Stein embedding theorems for generalized Morrey and Besov-Morrey spaces. Bibliography: 40 titles. © 2013 Springer Science+Business Media New York. |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
| Dergi Adı | Journal of Mathematical Sciences (United States) |
| Dergi ISSN | 1072-3374 |
| Makale Dili | İngilizce |
| Basım Tarihi | 03-2013 |
| Cilt No | 189 |
| Sayı | 3 |
| Sayfalar | 365 / 382 |
| Doi Numarası | 10.1007/s10958-013-1193-0 |
| Atıf Sayıları | |
| SCOPUS | 12 |
| Google Scholar | 21 |
