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A characterization for fractional integral and its commutators in Orlicz and generalized Orlicz–Morrey spaces on spaces of homogeneous type      
Yazarlar
Vagif S Guliyev
Doç. Dr. Fatih DERİNGÖZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
In this paper, we investigate the boundedness of maximal operator and its commutators in generalized Orlicz-Morrey spaces on the spaces of homogeneous type. As an application of this boundedness, we give necessary and sufficient condition for the boundedness of fractional integral and its commutators in these spaces. We also discuss criteria for the boundedness of these operators in Orlicz spaces.
Anahtar Kelimeler
Orlicz space, Generalized Orlicz-Morrey space, Maximal operator, Fractional integral, Commutator, Spaces of homogeneous type, 42B20, 42B25, 42B35
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Analysis and Mathematical Physics
Dergi ISSN 1664-2368
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 12-2019
Cilt No 9
Sayı 4
Sayfalar 1991 / 2019
Doi Numarası 10.1007/s13324-019-00295-w
Makale Linki http://link.springer.com/10.1007/s13324-019-00295-w