Characterization of fractional maximal operator and its commutators on Orlicz spaces in the Dunkl setting
| Yazarlar (3) |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Yagub Mammadov
Nakhchivan State University, Azerbaijan |
|
Fatma Muslumova
Nakhchivan Teachers Institute, Azerbaijan |
| Özet |
| On the Rd the Dunkl operators {Dk,j}j=1d are the differential-difference operators associated with the reflection group Z2d on Rd. In this paper, in the setting Rd we find necessary and sufficient conditions for the boundedness of the fractional maximal operator Mα,k on Orlicz spaces LΦ,k(Rd). As an application of this result we show that b∈ BMOk(Rd) if and only if the maximal commutator Mb,k is bounded on Orlicz spaces LΦ,k(Rd). |
| Anahtar Kelimeler |
| BMO | Commutator | Dunkl operator | Fractional maximal operator | Orlicz space |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
| Dergi Adı | Journal of Pseudo-Differential Operators and Applications |
| Dergi ISSN | 1662-9981 Wos Dergi Scopus Dergi |
| Makale Dili | İngilizce |
| Basım Tarihi | 12-2020 |
| Cilt No | 11 |
| Sayı | 4 |
| Sayfalar | 1699 / 1717 |
| Doi Numarası | 10.1007/s11868-020-00364-w |