Boundedness Characterization of Maximal Commutators on Orlicz Spaces in the Dunkl Setting
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Dumlupinar Üniversitesi, Türkiye
Nakhchivan State University, Azerbaycan
Nakhchivan State University, Azerbaycan
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Study | ||
| Dergi ISSN | 2617-8702 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2020 |
| Cilt / Sayı / Sayfa | 53 / 1 / 45–65 | DOI | 10.4208/jms.v53n1.20.03 |
| Makale Linki | https://global-sci.org/intro/article_detail/auth/15207.html | ||
| Özet |
| On the real line, the Dunkl operators Dν (f)(x):=d f(x) dx+(2ν+1)f(x)− f(−x), ∀x ∈R, ∀ν ≥ −1 2x 2 are differential-difference operators associated with the reflection group Z2 on R, and on the Rd the Dunkl operators{ }d Dk,j are the differential-difference operators associated with the reflection group Z2don Rd. In this paper, in the setting R we show that j=1 b ∈ BMO(R, dmν) if and only if the maximal commutator Mb,ν is bounded on Orlicz spaces LΦ (R, dmν). Also in the setting Rd we show that b ∈ BMO(Rd, h2k (x)dx) if and only if the maximal commutator Mb,k is bounded on Orlicz spaces LΦ (Rd, h2k(x)dx).. |
| Anahtar Kelimeler |
| BMO | commutator | Dunkl operator | Maximal operator | Orlicz space |
| Atıf Sayıları | |
| WoS | 2 |
| SCOPUS | 7 |