Some Characterizations of BMO Spaces via Commutators in Orlicz Spaces on Stratified Lie Groups
    
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV Baku State University, Azerbaycan
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Results in Mathematics (Q1)
Dergi ISSN 1422-6383 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili Türkçe Basım Tarihi 12-2021
Cilt / Sayı / Sayfa 77 / 1 / – DOI 10.1007/s00025-021-01578-0
Makale Linki http://dx.doi.org/10.1007/s00025-021-01578-0
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