Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind
    
Yazarlar (5)
Prof. Dr. Fatih DERİNGÖZ Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Dumlupinar Üniversitesi, Türkiye
Eiichi Nakai
Ibaraki University, Japonya
Yoshihiro Sawano
Rudn University, Rusya Federasyonu
Minglei Shi
Ibaraki University, Japonya
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Positivity (Q2)
Dergi ISSN 1385-1292 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Exp, SCOPUS, Curation, Current Contents Physical Chemical & Earth Sciences, Essential Science Indicators, Reference Master, Sophia
Makale Dili İngilizce Basım Tarihi 07-2019
Cilt / Sayı / Sayfa 23 / 3 / 727–757 DOI 10.1007/s11117-018-0635-9
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