Characterization of fractional maximal operator and its commutators on Orlicz spaces in the Dunkl setting
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Baku State University, Azerbaycan
Yagub Mammadov Nakhchivan State University, Azerbaycan
Fatma Muslumova Nakhchivan Teachers Institute, Azerbaycan
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| 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 / Sayı / Sayfa | 11 / 4 / 1699–1717 | DOI | 10.1007/s11868-020-00364-w |
| Makale Linki | https://link.springer.com/article/10.1007/s11868-020-00364-w | ||
| Özet |
| On the the Dunkl operators \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\big \{D_{k,j}\big \}_{j=1}^{d}$$\end{document} are the differential-difference operators associated with the reflection group on . In this paper, in the setting we find necessary and sufficient conditions for the boundedness of the fractional maximal operator on Orlicz spaces . As an application of this result we show that if and only if the maximal commutator is bounded on Orlicz spaces . |
| Anahtar Kelimeler |
| BMO | Commutator | Dunkl operator | Fractional maximal operator | Orlicz space |
| Atıf Sayıları | |
| Google Scholar | 6 |
| Web of Science | 6 |