Commutator of the maximal function in total Morrey spaces for the Dunkl operator on the real line
Yazarlar (3)
Y. Y. Mammadov
Nakhchivan Teachers Institute, Azerbaycan
Nakhchivan Teachers Institute, Azerbaycan
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
F. A. Muslumova
Nakhchivan State University, Azerbaycan
Nakhchivan State University, Azerbaycan
| Makale Türü |
Özgün Makale
(ESCI dergilerinde yayınlanan tam makale)
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| Dergi Adı | Azerbaijan Journal of Mathematics | ||
| Dergi ISSN | 2218-6816 Dergi Bilgileri (2025) | ||
| Dergi Tarandığı Indeksler | SCOPUS, Mathematical Reviews, Zentralblatt MATH and Math-net.ru. | ||
| Makale Dili | İngilizce | Basım Tarihi | 07-2025 |
| Cilt / Sayı / Sayfa | 15 / 2 / 85–104 | DOI | 10.59849/2218-6816.2025.2.85 |
| Makale Linki | https://azjm.org/ | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| On the real line, the Dunkl operators Dν are differential-difference operators associated with the reflection group Z2 on R. In this paper, in the setting R we study the commutators of the maximal operator associated with the Dunkl operator [b, Mν] in the total Dν-Morrey spaces Lp, λ, µ (R, dmν). We give necessary and sufficient conditions for the boundedness of the operator [b, Mν] on total Dν-Morrey spaces Lp, λ, µ (R, dmν) when b belongs to BMO (R, dmν) spaces, whereby some new characterizations for certain subclasses of BMO (R, dmν) spaces are obtained. |
| Anahtar Kelimeler |
| BMO | commutator | Dunkl operator | Maximal operator | total Dν-Morrey space |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 3 |
| Scopus | 12 |
| Google Scholar | 15 |