Pointwise and integral estimates for the B-Riesz potential in terms of B-maximal and B-fractional maximal functions
| Yazarlar (3) |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
N. N. Garakhanova
|
|
Yu. Zeren
|
| Özet |
| We study the maximal and fractional maximal functions and Riesz potentials that are generated by the generalized shift operator associated with the Laplace-Bessel operator. We obtain some pointwise and integral estimates that give a relation between the B-maximal and B-fractional maximal functions and B-Riesz potentials and extend the available results to the objects of a more general nature. Basing on these results, we prove interpolation theorems for the B-fractional maximal functions and B-Riesz potentials. |
| Anahtar Kelimeler |
| B-fractional maximal function | B-maximal function | B-Riesz potential | Generalized shift operator | Sobolev theorem |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | SIBERIAN MATHEMATICAL JOURNAL |
| Dergi ISSN | 0037-4466 Wos Dergi Scopus Dergi |
| Dergi Grubu | Q3 |
| Makale Dili | İngilizce |
| Basım Tarihi | 11-2008 |
| Cilt No | 49 |
| Sayı | 6 |
| Sayfalar | 1008 / 1022 |
| Doi Numarası | 10.1007/s11202-008-0097-6 |