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Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz–Morrey spaces of the third kind      
Yazarlar
Doç. Dr. Fatih DERİNGÖZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Vagif S Guliyev
Eiichi Nakai
Yoshihiro Sawano
Minglei Shi
Özet
In the present paper, we will characterize the boundedness of the generalized fractional integral operators I rho and the generalized fractional maximal operators M rho on Orlicz spaces, respectively. Moreover, we will give a characterization for the Spanne-type boundedness and the Adams-type boundedness of the operators M rho and I rho on generalized Orlicz-Morrey spaces, respectively. Also we give criteria for the weak versions of the Spanne-type boundedness and the Adams-type boundedness of the operators M rho and I rho on generalized Orlicz-Morrey spaces.
Anahtar Kelimeler
Generalized fractional maximal function, Generalized fractional integral, Orlicz spaces, Generalized Orlicz-Morrey spaces, 42B20, 42B25, 42B35, 4.6E+31
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Positivity
Dergi ISSN 1385-1292
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 07-2019
Cilt No 23
Sayı 3
Sayfalar 727 / 757
Doi Numarası 10.1007/s11117-018-0635-9
Makale Linki http://link.springer.com/10.1007/s11117-018-0635-9