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Characterizations for the Riesz potential and its commutators on generalized Orlicz Morrey spaces      
Yazarlar
Prof. Dr. Fatih DERİNGÖZ Prof. Dr. Fatih DERİNGÖZ
Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Ahi Evran Üniversitesi, Türkiye
Sabir Hasanov
Özet
In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively. Also we give criteria for the weak versions of Spanne and Adams type boundedness of the Riesz potential on the generalized Orlicz-Morrey spaces. In all the cases the conditions for the boundedness are given in terms of Zygmund type integral inequalities involving the Young function Phi (u) and the function phi(x, r) defining the space.
Anahtar Kelimeler
BMO | commutator | generalized Orlicz-Morrey space | Riesz potential
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı JOURNAL OF INEQUALITIES AND APPLICATIONS
Dergi ISSN 1029-242X
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 10-2016
Cilt No 2016
Sayı 1
Doi Numarası 10.1186/s13660-016-1192-z
Makale Linki http://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-016-1192-z