Marcinkiewicz integrals with rough kernels associated with Schrodinger Operator on vanishing generalized Morrey spaces
Yazarlar (2)
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
Doç. Dr. Okan KUZU Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Azerbaijan Journal of Mathematics | ||
| Dergi ISSN | 2218-6816 Dergi Bilgileri (2014) | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2014 |
| Cilt / Sayı / Sayfa | 4 / 1 / 40–54 | DOI | – |
| Makale Linki | http://azjm.org/index.php/azjm/article/view/174 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
|
||
| Özet |
| Let L=−∆+ V be a Schrödinger operator, where∆ is the Laplacian on Rn, while nonnegative potential V belongs to the reverse Hölder class. In this paper, we study the boundedness of the Marcinkiewicz operator with rough kernels associated with Schrödinger operator µL j, Ω on vanishing generalized Morrey spaces VM p, ϕ (Rn). We find the sufficient conditions on the pair (ϕ1, ϕ2) which ensure the boundedness of the operators µL j, Ω from one vanishing generalized Morrey space VM p, ϕ1 (Rn) to another VM p, ϕ2 (Rn), 1< p<∞ and from the space VM 1, ϕ1 (Rn) to the weak space WVM1, ϕ2 (Rn). |
| Anahtar Kelimeler |
| Marcinkiewicz operator | Rough kernel | Schrödinger operator | Vanishing generalized morrey space |
