O’Neil Inequality for Convolutions Associated with Gegenbauer Differential Operator and some Applications
Yazarlar (4)
Prof. Dr. Vagıf GULIYEV
Dumlupinar Üniversitesi, Türkiye
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Dumlupinar Üniversitesi, Türkiye
Azerbaijan State University Of Economics (Unec), 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 / 90–124 | DOI | 10.4208/jms.v53n1.20.05 |
| Makale Linki | https://global-sci.org/intro/article_detail/auth/15209.html | ||
| Özet |
| In this paper we prove an O’Neil inequality for the convolution operator (G-convolution) associated with the Gegenbauer differential operator Gλ. By using an O’Neil inequality for rearrangements we obtain a pointwise rearrangement estimate of the G-convolution. As an application, we obtain necessary and sufficient conditions on the parameters for the boundedness of the G-fractional maximal and G-fractional integral operators from the spaces Lp,λ to Lq,λ and from the spaces L1,λ to the weak spaces WLp,λ. |
| Anahtar Kelimeler |
| G-convolution | G-fractional in-tegral | G-fractional maximal function | Gegenbauer differential operator | O’Neil inequality |