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Commutator of the maximal function in total Morrey spaces for the Dunkl operator on the real line     
Yazarlar (3)
F.A. Muslumova
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Y.Y. Mammadov
Devamını Göster
Özet
On the real line, the Dunkl operators Dν are differential-difference operators associated with the reflection group Z2 on R. In this paper, in the setting R we study the commutators of the maximal operator associated with the Dunkl operator [b, Mν] in the total Dν-Morrey spaces Lp,λ,µ (R, dmν). We give necessary and sufficient conditions for the boundedness of the operator [b, Mν] on total Dν-Morrey spaces Lp,λ,µ (R, dmν) when b belongs to BMO(R, dmν) spaces, whereby some new characterizations for certain subclasses of BMO(R, dmν) spaces are obtained.
Anahtar Kelimeler
BMO | commutator | Dunkl operator | Maximal operator | total Dν-Morrey space
Makale Türü Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayınlanan tam makale
Dergi Adı Azerbaijan Journal of Mathematics
Dergi ISSN 2218-6816 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCOPUS, Mathematical Reviews, Zentralblatt MATH and Math-net.ru.
Makale Dili İngilizce
Basım Tarihi 07-2025
Cilt No 15
Sayı 2
Sayfalar 1 / 20
Doi Numarası 10.59849/2218-6816.2025.2.85
Makale Linki https://azjm.org/