NECESSARY AND SUFFICIENT CONDITIONS FOR THE BOUNDEDNESS OF THE RIESZ POTENTIAL IN MODIFIED MORREY SPACES
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Yıldız Teknik Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Inequalities (Q1) | ||
| Dergi ISSN | 1846-579X Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2011 |
| Cilt / Sayı / Sayfa | 5 / 4 / 491–506 | DOI | 10.7153/jmi-05-43 |
| Özet |
| We prove that the fractional maximal operator M-alpha and the Riesz potential operator I-alpha, 0 < alpha < n are bounded from the modified Morrey space (L) over tilde (1,lambda) (R-n) to the weak modified Morrey space W (L) over tilde (q,lambda) (R-n) if and only if, alpha/n <= 1 - 1/q <= alpha/(n - lambda) and from (L) over tilde (p,lambda) (R-n) to (L) over tilde (q,lambda) (R-n) if and only if, alpha/n <= 1/p - 1/q <= alpha/(n - lambda). As applications, we establish the boundedness of some Schodinger type operators on modified Morrey spaces related to certain nonnegative potentials belonging to the reverse Holder class. As an another application, we prove the boundedness of various operators on modified Morrey spaces which are estimated by Riesz potentials. |
| Anahtar Kelimeler |
| Fractional maximal function | Hardy-Littlewood-Sobolev inequality | Modified Morrey space | Riesz potential | Schödinger type operator |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 32 |
| SCOPUS | 39 |