| Yazarlar |
Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Okan KUZU
Kırşehir Ahi Evran Üniversitesi, Türkiye |
| Özet |
| Let L = -Delta + V be a Schrodinger operator, where Delta is the Laplacian on R-n, while nonnegative potential V belongs to the reverse Holder class. In this paper, we study the boundedness of the Marcinkiewicz operator with rough kernels associated with Schrodinger operator mu(L)(j,Omega) on vanishing generalized Morrey spaces V M-p,M- phi(R-n). We find the sufficient conditions on the pair (phi(1), phi(2)) which ensure the boundedness of the operators mu(L)(j,Omega) from one vanishing generalized Morrey space VMp,phi 1 (R-n) to another VMp,phi 2 (R-n), 1 < p < infinity and from the space VM1,phi 1 (R-n) to the weak space WVM1,phi 2 (R-n). |
| Anahtar Kelimeler |
| Marcinkiewicz operator | Rough kernel | Schrödinger operator | Vanishing generalized morrey space |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | Diğer hakemli uluslarası dergilerde yayımlanan tam makale |
| Dergi Adı | AZERBAIJAN JOURNAL OF MATHEMATICS |
| Dergi ISSN | 2218-6816 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2014 |
| Cilt No | 4 |
| Sayı | 1 |
| Sayfalar | 40 / 54 |
| Makale Linki | http://azjm.org/index.php/azjm/article/view/174 |
