Boundedness of the fractional maximal operator in generalized Morrey space on the Heisenberg group
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Azerbaijan National Academy Of Sciences, Azerbaycan
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Indian Journal of Pure and Applied Mathematics (Q4) | ||
| Dergi ISSN | 0019-5588 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 04-2013 |
| Cilt / Sayı / Sayfa | 44 / 2 / 185–202 | DOI | 10.1007/s13226-013-0010-2 |
| Özet |
| In this paper we study the fractional maximal operator M (alpha) , 0 a parts per thousand currency sign alpha < Q on the Heisenberg group a"i (n) in the generalized Morrey spaces M (p, I center dot)(a"i (n) ), where Q = 2n + 2 is the homogeneous dimension of a"i (n) . We find the conditions on the pair (I center dot (1), I center dot (2)) which ensures the boundedness of the operator M (alpha) from one generalized Morrey space M (p, I center dot 1)(a"i (n) ) to another M (q, I center dot 2)(a"i (n) ), 1 < p < q < a, 1/p-1/q = alpha/Q, and from the space M (1, I center dot 1)(a"i (n) ) to the weak space WM (q, I center dot 2)(a"i (n) ), 1 < q < a, 1 - 1/q = alpha/Q. We also find conditions on the phi which ensure the Adams type boundedness of M (alpha) from to for 1 < p < q < a and from M (1, I center dot)(a"i (n) ) to for 1 < q < a. As applications we establish the boundedness of some Schrodinger type operators on generalized Morrey spaces related to certain nonnegative potentials V belonging to the reverse Holder class B (a)(" (n) ). |
| Anahtar Kelimeler |
| fractional maximal function | generalized Morrey space | Heisenberg group | Schrödinger operator |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 1 |
| SCOPUS | 3 |