Boundedness of the maximal operator in the local Morrey-Lorentz spaces
Yazarlar (3)
Canay Aykol Ankara Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Ayhan Serbetci 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 / 346–0 | 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 , and . These spaces generalize Lorentz spaces such that . We show that in the case or , the space is trivial, and in the limiting case , the space is the classical Lorentz space . We show that for and , the local Morrey-Lorentz spaces are equal to weak Lebesgue spaces . 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.MSC:42B20, 42B25, 42B35, 47G10. |
| Anahtar Kelimeler |
| Local Morrey-Lorentz spaces | Lorentz spaces | Lorentz-Morrey spaces | Maximal operator | Morrey spaces |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Google Scholar | 30 |
| Web of Science | 18 |