Yazarlar (3) |
![]() Kırşehir Ahi Evran Üniversitesi, Türkiye |
![]() Nakhchivan State University, Azerbaijan |
![]() 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 |