Inequality of ONeil-type for convolutions associated with the Laplace-Bessel differential operator and applications
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Azerbaijan National Academy Of Sciences, Azerbaycan
A. Serbetci Ankara Üniversitesi, Türkiye
Z. V. Safarov Azerbaijan National Academy Of Sciences, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
|
||
| Dergi Adı | Mathematical Inequalities and Applications (Q2) | ||
| Dergi ISSN | 1331-4343 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2007 |
| Cilt / Sayı / Sayfa | 11 / 1 / 99–112 | DOI | 10.7153/mia-11-06 |
| Makale Linki | https://doi.org/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’Neiltype 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 Lp, γ to Lq, γ and from the spaces L1, γ to the weak spaces |
| Anahtar Kelimeler |
| B -convolution | B -fractional integral | Fractional B -maximal function | Laplace-Bessel differential operator | O'Neil type inequality | Rearrangement of a function |
| Atıf Sayıları | |
| Google Scholar | 11 |
| Web of Science | 5 |