Some estimations for Riesz potentials in terms maximal and fractional maximal functions associated with the Dunkl operator on the real line
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(Uluslararası alan indekslerindeki dergilerde yayınlanan tam makale)
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| Dergi Adı | Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci | ||
| Makale Dili | – | Basım Tarihi | 01-2007 |
| Cilt / Sayı / Sayfa | 27 / 7 / 71–76 | DOI | – |
| Makale Linki | https://imm.az/journals/AMEA_xeberleri/cild27_N7_2007/meqaleler/71-76.pdf | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| On the real line, the Dunkl operators are differential-difference operators associated with the reflection group Z2 on R. In the work by means of the operator of generalized shift, generated by Dunkl operator the maximal functions (Dunkl-type maximal function), fractional-maximal functions (Dunkl-type fractional maximal function) and Riesz potentials (Dunkl-type Riesz potential) are investigated. We proved pointwise and integral estimates for Riesz potentials in terms maximal and fractional maximal functions associated with the Dunkl operator on the real line. |
| Anahtar Kelimeler |
