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Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind    
Yazarlar
Prof. Dr. Fatih DERİNGÖZ Prof. Dr. Fatih DERİNGÖZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Eiichi Nakai
Ibaraki University, Japan
Yoshihiro Sawano
RUDN University, Russian Federation
Minglei Shi
Ibaraki University, Japan
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 integral | Generalized fractional maximal function | Generalized Orlicz-Morrey spaces | Orlicz spaces
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-Exp, SCOPUS, Curation, Current Contents Physical Chemical & Earth Sciences, Essential Science Indicators, Reference Master, Sophia
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 07-2019
Cilt No 23
Sayı 3
Sayfalar 727 / 757
Doi Numarası 10.1007/s11117-018-0635-9