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
Vagif S 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-Expanded
Makale Dili İngilizce Basım Tarihi 07-2019
Cilt / Sayı / Sayfa 23 / 3 / 727–757 DOI 10.1007/s11117-018-0635-9
Makale Linki http://link.springer.com/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