Generalized Fractional Integral Operators on Generalized Local Morrey Spaces
Yazarlar (4)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
A. F. Ismayilova
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
A. Kucukaslan Ankara Üniversitesi, Türkiye
A. Serbetci
Ankara Üniversitesi, Türkiye
Ankara Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Function Spaces (Q4) | ||
| Dergi ISSN | 2314-8896 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2015 |
| Cilt / Sayı / Sayfa | 2015 / 1 / 1–8 | DOI | 10.1155/2015/594323 |
| Makale Linki | http://www.hindawi.com/journals/jfs/2015/594323/ | ||
| Özet |
| We study the continuity properties of the generalized fractional integral operator Iρ on the generalized local Morrey spaces and generalized Morrey spaces Mp,φ. We find conditions on the triple (φ1, φ2, ρ) which ensure the Spanne‐type boundedness of Iρ from one generalized local Morrey space to another , 1 < p < q < ∞, and from to the weak space , 1 < q < ∞. We also find conditions on the pair (φ, ρ) which ensure the Adams‐type boundedness of Iρ from to for 1 < p < q < ∞ and from M1,φ to for 1 < q < ∞. In all cases the conditions for the boundedness of Iρ are given in terms of Zygmund‐type integral inequalities on (φ1, φ2, ρ) and (φ, ρ), which do not assume any assumption on monotonicity of φ1(x, r), φ2(x, r), and φ(x, r) in r. |
| Anahtar Kelimeler |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 12 |
| SCOPUS | 16 |
| Google Scholar | 25 |