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Non-smooth Atomic Decompositions for Generalized Orlicz-Morrey Spaces of the Third Kind    
Yazarlar (4)
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Sabir G. Hasanov
Yoshihiro Sawano
Takahiro Noi
Devamını Göster
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