Marcinkiewicz integrals with rough kernel associated with Schrödinger operator on vanishing generalized Morrey spaces
Yazarlar (2)
Doç. Dr. Okan KUZU
Kirsehir Ahi Evran University, Türkiye
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Bildiri Türü | Tebliğ/Bildiri |
| Bildiri Alt Türü | Özet Metin Olarak Yayınlanan Tebliğ (Uluslararası Kongre/Sempozyum) |
| Bildiri Niteliği | Web of Science Kapsamındaki Kongre/Sempozyum |
| Bildiri Dili | İngilizce |
| Kongre Adı | Actual Problems on Mathematics and Mechanics (APMI) |
| Kongre Tarihi | 15-05-2014 / 16-05-2015 |
| Basıldığı Ülke | Azerbaycan |
| Basıldığı Şehir | Baku |
| 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 | Schrodinger operator | vanishing generalized Morrey space |
