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Characterizations for the fractional maximal operator and its commutators on total Morrey spaces   
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
We shall give a characterization for the strong and weak type Adams type boundedness of the fractional maximal operator Mα on total Morrey spaces Lp,λ,μ(Rn), respectively. Also we give necessary and sufficient conditions for the boundedness of the fractional maximal commutator operator Mb,α and commutator of fractional maximal operator [b,Mα] on Lp,λ,μ(Rn) when b belongs to BMO(Rn) spaces, whereby some new characterizations for certain subclasses of BMO(Rn) spaces are obtained.
Anahtar Kelimeler
BMO | Commutator | Fractional maximal operator | Total Morrey spaces
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Positivity
Dergi ISSN 1385-1292
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q2
Makale Dili Türkçe
Basım Tarihi 07-2024
Cilt No 28
Sayı 4
Doi Numarası 10.1007/s11117-024-01068-x
Makale Linki http://dx.doi.org/10.1007/s11117-024-01068-x