| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
A. Serbetci
|
|
Z. V. Safarov
|
| 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 |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | MATHEMATICAL INEQUALITIES & APPLICATIONS |
| Dergi ISSN | 1331-4343 |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2008 |
| Cilt No | 11 |
| Sayı | 1 |
| Sayfalar | 99 / 112 |
| Doi Numarası | 10.7153/mia-11-06 |
