Non-smooth Atomic Decompositions for Generalized Orlicz-Morrey Spaces of the Third Kind
Yazarlar (4)
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Ganja State University, Azerbaycan
Tokyo Metropolitan University, Japonya
Tokyo Metropolitan University, Japonya
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Acta Applicandae Mathematicae (Q3) | ||
| Dergi ISSN | 0167-8019 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2016 |
| Cilt / Sayı / Sayfa | 145 / 1 / 133–174 | DOI | 10.1007/s10440-016-0052-7 |
| Özet |
| We deal with the generalized Orlicz-Morrey space of the third kind and consider the decomposition method. Also we characterize its predual space. Some maximal estimates for generalized Orlicz-Morrey spaces of the third kind are also obtained by using the weighted Hardy operators. As an application, we consider the Olsen inequality, which is a bilinear estimate on the fractional integral operator. As an appendix, we consider a general form of the vector-valued boundedness of the Hardy-Littlewood maximal operator, where in the definition of depends on as well. This paper contains a remedy for the mistake in the proof of the Olsen inequality of the 2014 paper by the second author (Iida et al. in Z. Anal. Anwend. 33(2):149-170, 2014). |
| Anahtar Kelimeler |
| Atomic decomposition | Maximal operators | Orlicz–Morrey spaces |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 41 |
| SCOPUS | 43 |
| Google Scholar | 66 |