Boundedness of the maximal operator in the local Morrey-Lorentz spaces
Yazarlar (3)
Ankara Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Ankara Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Inequalities and Applications (Q1) | ||
| Dergi ISSN | 1025-5834 | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2013 |
| Cilt / Sayı / Sayfa | 2013 / 1 / – | DOI | 10.1186/1029-242X-2013-346 |
| Makale Linki | https://journalofinequalitiesandapplications.springeropen.com/track/pdf/10.1186/1029-242X-2013-346 | ||
| Özet |
| In this paper we define a new class of functions called local Morrey-Lorentz spaces M-p,q;lambda(loc)(R-n), 0 < p,q <= infinity and 0 <= lambda <= 1. These spaces generalize Lorentz spaces such that M-p,q;0(loc) (R-n) = L-p,L-q(R-n). We show that in the case lambda < 0 or lambda > 1, the space M-p,q;lambda(loc) (R-n) is trivial, and in the limiting case lambda = 1, the space M-p,q;1(loc) (R-n) is the classical Lorentz space Lambda (infinity,t1/p - 1/q) (R-n). We show that for 0 < q <= p < infinity and 0 < lambda <= q/p, the local Morrey-Lorentz spaces M-p,q;lambda(loc) (R-n) are equal to weak Lebesgue spaces WL1/p-lambda/q (R-n). We get an embedding between local Morrey-Lorentz spaces and Lorentz-Morrey spaces. Furthermore, we obtain the boundedness of the maximal operator in the local Morrey-Lorentz spaces. |
| Anahtar Kelimeler |
| Local Morrey-Lorentz spaces | Lorentz spaces | Lorentz-Morrey spaces | Maximal operator | Morrey spaces |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 17 |
| SCOPUS | 18 |
| Google Scholar | 28 |