Boundedness of the maximal operator in the local Morrey Lorentz spaces
Yazarlar (3)
Canay Aykol Yüce Ankara Üniversitesi, Türkiye
Ayhan Şerbetçi Ankara Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Journal of Inequalities and Applications (Q4) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2013 |
| Cilt / Sayı / Sayfa | 2013 / 346 / – | DOI | – |
| 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 |