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Characterizations for the fractional maximal operator and its commutators in generalized weighted Morrey spaces on Carnot groups  
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
In this paper, we shall give a characterization for the strong and weak type Spanne type boundedness of the fractional maximal operator Mα, 0 ≤ α< Q on Carnot group G on generalized weighted Morrey spaces Mp,φ(G, w) , where Q is the homogeneous dimension of G. Also we give a characterization for the Spanne type boundedness of the fractional maximal commutator operator Mb,α on generalized weighted Morrey spaces.
Anahtar Kelimeler
BMO | Carnot group | Commutator | Fractional maximal operator | Generalized weighted Morrey space | Homogeneous dimension
Makale Türü Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayımlanan tam makale
Dergi Adı Analysis and Mathematical Physics
Dergi ISSN 1664-2368
Makale Dili İngilizce
Basım Tarihi 06-2020
Cilt No 10
Sayı 2
Doi Numarası 10.1007/s13324-020-00360-9