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Some Characterizations of BMO Spaces via Commutators in Orlicz Spaces on Stratified Lie Groups    
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
In the paper we study the fractional maximal commutators Mb,α and the commutators of the fractional maximal operator [b, Mα] in the Orlicz spaces LΦ(G) on any stratified Lie group G. We give necessary and sufficient conditions for the boundedness of the operators Mb,α and [b, Mα] on Orlicz spaces LΦ(G) when b belongs to BMO(G) spaces, whereby some new characterizations for certain subclasses of BMO(G) spaces are obtained.
Anahtar Kelimeler
BMO | commutator | fractional maximal function | Orlicz space | stratified group
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Results in Mathematics
Dergi ISSN 1422-6383
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili Türkçe
Basım Tarihi 12-2021
Cilt No 77
Sayı 1
Doi Numarası 10.1007/s00025-021-01578-0
Makale Linki http://dx.doi.org/10.1007/s00025-021-01578-0