Yazarlar |
Victor I. Burenkov
|
Amiran Gogatishvili
|
Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Rza Ch Mustafayev
|
Özet |
The problem of boundedness of the Riesz potential in local Morrey-type spaces is reduced to the problem of boundedness of the Hardy operator in weighted L (p) -spaces on the cone of non-negative non-increasing functions. This allows obtaining sharp sufficient conditions for boundedness for all admissible values of the parameters, which, for a certain range of the parameters wider than known before, coincide with the necessary ones. |
Anahtar Kelimeler |
Hardy operator on the cone of monotonic functions | Local and global Morrey-type spaces | Riesz potential |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | POTENTIAL ANALYSIS |
Dergi ISSN | 0926-2601 |
Dergi Grubu | Q1 |
Makale Dili | İngilizce |
Basım Tarihi | 07-2011 |
Cilt No | 35 |
Sayı | 1 |
Sayfalar | 67 / 87 |
Doi Numarası | 10.1007/s11118-010-9205-x |
Atıf Sayıları | |
WoS | 67 |
SCOPUS | 72 |
Google Scholar | 103 |