Boundedness Characterization of Maximal Commutators on Orlicz Spaces in the Dunkl Setting
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Dumlupinar Üniversitesi, Türkiye
Yagub Y. Mammadov
Nakhchivan State University, Azerbaycan
Nakhchivan State University, Azerbaycan
Fatma A. Muslumova
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$$D_{\nu}(f)(x):=\frac{d f(x)}{dx} + (2\nu+1) \frac{f(x) - f(-x)}{2x}, ~~ \quad\forall \, x \in \mathbb{R}, ~ \forall \, \nu \ge -\tfrac{1}{2}$$are differential-difference operators associated with the reflection group on , and on the the Dunkl operators are the differential-difference operators associated with the reflection group on .In this paper, in the setting we show that if and only if the maximal commutator is bounded on Orlicz spaces . Also in the setting we show that if and only if the maximal commutator is bounded on Orlicz spaces . |
| Anahtar Kelimeler |
| BMO | commutator | Dunkl operator | Maximal operator | Orlicz space |