| Yazarlar |
Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Stefan G. Samko
|
| Özet |
| We consider generalized Morrey spaces on quasi-metric measure spaces , in general unbounded, with variable exponent p(x) and a general function defining the Morrey-type norm. No linear structure of the underlying space X is assumed. The admission of unbounded X generates problems known in variable exponent analysis. We prove the boundedness results for maximal operator known earlier only for the case of bounded sets X. The conditions for the boundedness are given in terms of the so called supremal inequalities imposed on the function , which are weaker than Zygmund-type integral inequalities often used for characterization of admissible functions . Our conditions do not suppose any assumption on monotonicity of in r. |
| Anahtar Kelimeler |
| 42B25 | 42B35 | 46E30 |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | MEDITERRANEAN JOURNAL OF MATHEMATICS |
| Dergi ISSN | 1660-5446 |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 06-2016 |
| Cilt No | 13 |
| Sayı | 3 |
| Sayfalar | 1151 / 1165 |
| Doi Numarası | 10.1007/s00009-015-0561-z |
| Atıf Sayıları | |
| WoS | 16 |
| SCOPUS | 18 |
| Google Scholar | 17 |
