| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Z. V. Safarov
|
|
A. Serbetci
|
| Özet |
| We introduce the generalized fractional integrals (generalized B-fractional integrals) generated by the Delta(B) Laplace-Bessel differential operator and give some results for them. We obtain O'Neil type inequalities for the B-convolutions and give pointwise rearrangement estimates of the generalized B-fractional integrals. Then we get the L (p,gamma) -boundedness of the generalized B-convolution operator, the generalized B-Riesz potential and the generalized fractional B-maximal function. Finally, we prove a sharp pointwise estimate of the nonincreasing rearrangement of the generalized fractional B-maximal function. |
| Anahtar Kelimeler |
| B-convolution | Generalized B-fractional integral | Generalized shift operator | Laplace-Bessel differential operator | O'Neil type inequality |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | ACTA MATHEMATICA HUNGARICA |
| Dergi ISSN | 0236-5294 |
| Dergi Grubu | Q3 |
| Makale Dili | İngilizce |
| Basım Tarihi | 05-2008 |
| Cilt No | 119 |
| Sayı | 3 |
| Sayfalar | 201 / 217 |
| Doi Numarası | 10.1007/s10474-007-6107-5 |
