Meda inequality for rearrangements of the B–convolutions and some applications
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 | J. Math. Inequal | ||
| Makale Dili | – | Basım Tarihi | 01-2008 |
| Cilt / Sayı / Sayfa | 2 / 0 / 437–447 | DOI | – |
| Makale Linki | https://files.ele-math.com/articles/jmi-02-38.pdf | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| In this paper we prove the Meda inequality for rearrangements of the convolution operator (B–convolution) associated with the Laplace-Bessel differential operator. By using the Meda inequality for rearrangements we obtain an O’Neil type inequality for the B–convolution. As applications of these results, we obtain necessary and sufficient conditions on the parameters for the boundedness of the fractional B-maximal operator and B–fractional integral operator with rough kernels, from the spaces Lp, γ to Lq, γ and from the spaces L1, γ to the weak spaces |
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