Characterizations for the Riesz potential and its commutators on generalized Orlicz Morrey spaces
     
Yazarlar (3)
Prof. Dr. Fatih DERİNGÖZ Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Sabir Hasanov
Ganja State University, Azerbaycan
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Inequalities and Applications (Q4)
Dergi ISSN 1025-5834
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 10-2016
Cilt / Sayı / Sayfa 2016 / 1 / – DOI 10.1186/s13660-016-1192-z
Makale Linki http://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-016-1192-z
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 Φ (u) and the function φ(x, r) defining the space.
Anahtar Kelimeler
BMO | commutator | generalized Orlicz-Morrey space | Riesz potential