Non-smooth Atomic Decompositions for Generalized Orlicz-Morrey Spaces of the Third Kind
Yazarlar (4)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Sabir G. Hasanov Ganja State University, Azerbaycan
Yoshihiro Sawano Tokyo Metropolitan University, Japonya
Takahiro Noi 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 |
| Makale Linki | https://link.springer.com/article/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, ). |
| Anahtar Kelimeler |
| Atomic decomposition | Maximal operators | Orlicz–Morrey spaces |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Google Scholar | 65 |
| Web of Science | 42 |