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Akademisyenler > Vagıf GULIYEV > Yayın Detayı

Generalized Fractional Integral Operators on Generalized Local Morrey Spaces     
Yazarlar (4)
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Ahi Evran Üniversitesi, Türkiye
A F Ismayilova
A Kucukaslan
Ayhan Şerbetçi
Ankara Üniversitesi, Türkiye
Devamını Göster
Özet
We study the continuity properties of the generalized fractional integral operator I ρ on the generalized local Morrey spaces L M p, φ {x0} and generalized Morrey spaces M p, φ. We find conditions on the triple (φ 1, φ 2, ρ) which ensure the Spanne-type boundedness of I ρ from one generalized local Morrey space L M p, φ 1 {x0} to another L M q, φ2 {x0}, 1 < p < q < ∞, and from L M1,φ1 {x0} to the weak space W L Mq,φ 2 {x0}, 1 < q < ∞. We also find conditions on the pair (φ, ρ) which ensure the Adams-type boundedness of I ρ from Mp, φ1/p to Mq,φ1/q for 1 < p < q < ∞ and from M1,φ to W Mq,φ1/q for 1 < q < ∞. In all cases the conditions for the boundedness of I ρ are given in terms of Zygmund-type integral inequalities on (φ 1, φ 2, ρ) and (φ, ρ), which do not assume any assumption on monotonicity of φ1(x, r), φ 2 (x, r), and φ (x, r) in r.
Anahtar Kelimeler
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı JOURNAL OF FUNCTION SPACES
Dergi ISSN 2314-8896 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 01-2015
Cilt No 2015
Sayı 1
Sayfalar 1 / 8
Doi Numarası 10.1155/2015/594323
Makale Linki http://www.hindawi.com/journals/jfs/2015/594323/
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 9
SCOPUS 13
Google Scholar 22
Generalized Fractional Integral Operators on Generalized Local Morrey Spaces

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