Commutator of the maximal function in total Morrey spaces for the Dunkl operator on the real line

Muslumova, F.A.; GULIYEV, VAGIF; Mammadov, Y.Y.

doi:10.59849/2218-6816.2025.2.85

Commutator of the maximal function in total Morrey spaces for the Dunkl operator on the real line

Yazarlar (3)

F.A. Muslumova
Nakhchivan State University, Azerbaycan

Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye

Y.Y. Mammadov
Nakhchivan Teachers Institute, Azerbaycan

Makale Türü	Özgün Makale (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 / Sayı / Sayfa	15 / 2 / 85–104	DOI	10.59849/2218-6816.2025.2.85
Makale Linki	https://azjm.org/

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

BM Sürdürülebilir Kalkınma Amaçları

Atıf Sayıları
SCOPUS	5

Commutator of the maximal function in total Morrey spaces for the Dunkl operator on the real line

Dergi Adı	Azerbaijan Journal of Mathematics
Yayıncı	Institute of Mathematics and Mechanics NAS of Azerbaijan
Açık Erişim	Hayır
ISSN	2218-6816
E-ISSN	2218-6816
CiteScore	1,6
SJR	0,509
SNIP	0,793

Commutator of the maximal function in total Morrey spaces for the Dunkl operator on the real line

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