| Yazarlar |
V. I. Burenkov
|
|
V. S. Guliev
|
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
| Özet |
| The problem of the boundedness of the Riesz potential I α, 0∈<∈α∈<∈n, in local Morrey-type spaces is reduced to the boundedness of the Hardy operator in weighted L p -spaces on the cone of non-negative non-increasing functions. This allows obtaining sufficient conditions for the boundedness in local Morrey-type spaces for all admissible values of the parameters. Moreover, for a certain range of the parameters, these sufficient conditions coincide with the necessary ones. © 2008 Springer Science+Business Media B.V. |
| Anahtar Kelimeler |
| Fractional maximal operator | Hardy operator on the cone of monotonic functions | Local Morrey-type spaces | Riesz potential | Weak Morrey-type spaces | Weighted estimates |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | DOKLADY MATHEMATICS |
| Dergi ISSN | 1064-5624 |
| Dergi Grubu | Q4 |
| Makale Dili | İngilizce |
| Basım Tarihi | 02-2007 |
| Cilt No | 75 |
| Sayı | 1 |
| Sayfalar | 103 / 107 |
| Doi Numarası | 10.1134/S1064562407010292 |
