Generalized Morrey Spaces - Revisited
Yazarlar (4)
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Takahiro Noi Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Yoshihiro Sawano
Tokyo Metropolitan University, Japonya
Tokyo Metropolitan University, Japonya
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Zeitschrift Fur Analysis Und Ihre Anwendungen (Q3) | ||
| Dergi ISSN | 0232-2064 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2017 |
| Cilt / Sayı / Sayfa | 36 / 1 / 17–35 | DOI | 10.4171/ZAA/1577 |
| Makale Linki | https://content.ems.press/assets/public/full-texts/serials/zaa/36/1/14530/online/10.4171-zaa-1577.pdf | ||
| Özet |
| The generalized Morrey space Mp, φ (Rn) was defined by Mizuhara 1991 and Nakai in 1994. It is equipped with a parameter 0< p<∞ and a function φ: Rn×(0,∞)→(0,∞). Our experience shows that Mp, φ (Rn) is easy to handle when 1< p<∞. However, when 0< p≤ 1, the function space Mp, φ (Rn) is difficult to handle as many examples show. We propose a way to deal with Mp, φ (Rn) for 0< p≤ 1, in particular, to obtain some estimates of the Hardy-Littlewood maximal operator on these spaces. Especially, the vector-valued estimates obtained in the earlier papers are refined. The key tool is the weighted dual Hardy operator. Much is known on the weighted dual Hardy operator. |
| Anahtar Kelimeler |
| Decomposition | Generalized Morrey spaces | Maximal operators |
