Riesz potential in generalized Morrey spaces on the Heisenberg group
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Niğde Ömer Halisdemir University, Türkiye
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Journal of Mathematical Sciences United States | ||
| Dergi ISSN | 1072-3374 Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 03-2013 |
| Cilt / Sayı / Sayfa | 189 / 3 / 365–382 | DOI | 10.1007/s10958-013-1193-0 |
| 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. |
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| Atıf Sayıları | |
| SCOPUS | 15 |
| Google Scholar | 23 |