Generalized Hardy–Morrey Spaces
Yazarlar (4)
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Zeitschrift Fur Analysis Und Ihre Anwendungen | ||
| Dergi ISSN | 0232-2064 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2017 |
| Cilt / Sayı / Sayfa | 36 / 2 / 129–149 | DOI | 10.4171/ZAA/1582 |
| Makale Linki | http://www.ems-ph.org/doi/10.4171/ZAA/1582 | ||
| Özet |
| This paper is an off-spring of the contribution [Z. Anal. Anwend. 36 (2017)(1), 17-35]. We propose a way to consider the decomposition method of generalized Hardy Morrey spaces. Generalized HardyMorrey spaces emerged from generalized Morrey spaces. By means of the grand maximal operator and the norm of generalized Morrey spaces, we can define generalized Hardy-Morrey spaces. With what we have culminated for the Hardy-Littlewood maximal operator, we can easily refine the existing results. As an application, we consider bilinear estimates, which is the "so-called" Olsen inequality. In particular, our results complement the one in the 2014 paper by Iida, the fourth author and Tanaka [Z. Anal. Anwend. 33 (2014)(2), 149-170]; there were two mistakes. One lies in the decomposition result and another lies in the proof of the Olsen inequality. |
| Anahtar Kelimeler |
| Decomposition | Generalized hardy-morrey spaces | Maximal operators | Olsen inequality |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 8 |
| SCOPUS | 9 |
| Google Scholar | 21 |