Yazarlar (4) |
![]() Kırşehir Ahi Evran Üniversitesi |
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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 |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | ACTA APPLICANDAE MATHEMATICAE |
Dergi ISSN | 0167-8019 Wos Dergi Scopus Dergi |
Dergi Grubu | Q3 |
Makale Dili | İngilizce |
Basım Tarihi | 10-2016 |
Cilt No | 145 |
Sayı | 1 |
Sayfalar | 133 / 174 |
Doi Numarası | 10.1007/s10440-016-0052-7 |