Inequality of O'Neil-type for convolutions associated with the Laplace-Bessel differential operator and applications
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Azerbaijan National Academy Of Sciences, Azerbaycan
Ankara Üniversitesi, Türkiye
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 | Mathematical Inequalities and Applications (Q1) | ||
| Dergi ISSN | 1331-4343 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2008 |
| Cilt / Sayı / Sayfa | 11 / 1 / 99–112 | DOI | 10.7153/mia-11-06 |
| Özet |
| In this paper we prove an O'Neil-type inequality for the convolution operator ( B-convolution) associated with the Laplace-Bessel differential operator. By using an O'Neil-type inequality for rearrangements we obtain a pointwise rearrangement estimate of the B-convolution. As an application, 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 L-p,L-gamma to L-q,L-gamma and from the spaces L-1,(gamma) to the weak spaces WLq,gamma. |
| Anahtar Kelimeler |
| B -convolution | B -fractional integral | Fractional B -maximal function | Laplace-Bessel differential operator | O'Neil type inequality | Rearrangement of a function |