On the rearrangement estimates and the boundedness of the generalized fractional integrals associated with the Laplace-Bessel differential operator
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Baku State University, Azerbaycan
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Ankara Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Acta Mathematica Hungarica (Q3) | ||
| Dergi ISSN | 0236-5294 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 05-2008 |
| Cilt / Sayı / Sayfa | 119 / 3 / 201–217 | DOI | 10.1007/s10474-007-6107-5 |
| 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 |