| Yazarlar |
Prof. Dr. Ali AKBULUT
Ahi Evran Üniversitesi, Türkiye |
Vagıf Guliyev
|
|
Takahıro Noı
|
|
Yoshıhıro Sawano
|
| Özet |
| The generalized Morrey space M-p,M-phi(R-n) was defined by Mizuhara 1991 and Nakai in 1994. It is equipped with a parameter 0 < p < infinity and a function phi : R-n x (0, infinity) -> (0, infinity). Our experience shows that M-p,M-phi(R-n) is easy to handle when 1 < p < infinity. However, when 0 < p <= 1, the function space M-p,M-phi(R-n) is difficult to handle as many examples show. We propose a way to deal with M-p,M-phi(R-n) 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 |
| generalized Morrey spaces, decomposition, maximal operators |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | Zeitschrift für Analysis und ihre Anwendungen |
| Dergi ISSN | 0232-2064 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Makale Dili | İngilizce |
| Basım Tarihi | 02-2017 |
| Cilt No | 36 |
| Sayı | 1 |
| Sayfalar | 17 / 35 |
| Doi Numarası | 10.4171/ZAA/1577 |
| Makale Linki | http://www.ems-ph.org/doi/10.4171/ZAA/1577 |
| Atıf Sayıları | |
| WoS | 7 |
| SCOPUS | 6 |
| Google Scholar | 13 |
