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
A. Kucukaslan
Ankara Üniversitesi, Türkiye
A. Serbetci
Ankara Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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 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
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 12
SCOPUS 16
Google Scholar 25
Generalized Fractional Integral Operators on Generalized Local Morrey Spaces

Paylaş

İletişim
  • Kırşehir Ahi Evran Üniversitesi Bağbaşı Yerleşkesi, 40100, KIRŞEHİR \ TÜRKİYE
  • unis@ahievran.edu.tr
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