Necessary and sufficient condition for the boundedness of the Gegenbauer-Riesz potential on Morrey spaces
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Azerbaijan National Academy Of Sciences, Azerbaycan
Elman J. Ibrahimov Azerbaijan National Academy Of Sciences, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Georgian Mathematical Journal (Q4) | ||
| Dergi ISSN | 1072-947X Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2018 |
| Cilt / Sayı / Sayfa | 25 / 2 / 235–248 | DOI | 10.1515/gmj-2018-0022 |
| Makale Linki | https://www.degruyterbrill.com/document/doi/10.1515/gmj-2018-0022/html | ||
| Özet |
| In this paper, we study the Riesz potential (G-Riesz potential) generated by the Gegenbauer differential operatorG_{\lambda}=(x^{2}-1)^{\frac{1}{2}-\lambda}\frac{d}{dx}(x^{2}-1)^{\lambda+% \frac{1}{2}}\frac{d}{dx},\quad x\in(1,\infty),\,\lambda\in\Bigl{(}0,\frac{1}{2% }\Bigr{)}.We prove that the G-Riesz potential , , is bounded from the G-Morrey space to if and only if\frac{1}{p}-\frac{1}{q}=\frac{\alpha}{2\lambda+1-\gamma},\quad 1 |
| Anahtar Kelimeler |
| G-maximal function | G-Morrey space | G-Riesz potential |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları |