Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces
Yazarlar (2)
Victor I. Burenkov Cardiff University, İngiltere
Prof. Dr. Vagıf GULIYEV Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Potential Analysis (Q4) | ||
| Dergi ISSN | 0926-2601 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 02-2007 |
| Cilt / Sayı / Sayfa | 30 / 3 / 211–249 | DOI | 10.1007/s11118-008-9113-5 |
| Makale Linki | https://link.springer.com/article/10.1007/s11118-008-9113-5 | ||
| Özet |
| The problem of the boundedness of the Riesz potential Iα, 0 < α < n, in local Morrey-type spaces is reduced to the boundedness of the Hardy operator in weighted Lp-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. |
| 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 |