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
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Harran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Siberian Mathematical Journal (Q3) | ||
| Dergi ISSN | 0037-4466 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 11-2008 |
| Cilt / Sayı / Sayfa | 49 / 6 / 1008–1022 | DOI | 10.1007/s11202-008-0097-6 |
| 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 |