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Generalized Fractional Integral Operators on Generalized Local Morrey Spaces
Joint Authors
Guliyev, Vagif S.
Ismayilova, A. F.
Kucukaslan, A.
Serbetci, A.
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-22
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We study the continuity properties of the generalized fractional integral operator Iρ on the generalized local Morrey spaces LMp,φ{x0} 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 LMp,φ1{x0} to another LMq,φ2{x0}, 1
We also find conditions on the pair (φ,ρ) which ensure the Adams-type boundedness of Iρ from Mp,φ1/p to Mq,φ1/q for 1
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.
American Psychological Association (APA)
Guliyev, Vagif S.& Ismayilova, A. F.& Kucukaslan, A.& Serbetci, A.. 2015. Generalized Fractional Integral Operators on Generalized Local Morrey Spaces. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1068293
Modern Language Association (MLA)
Guliyev, Vagif S.…[et al.]. Generalized Fractional Integral Operators on Generalized Local Morrey Spaces. Journal of Function Spaces No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1068293
American Medical Association (AMA)
Guliyev, Vagif S.& Ismayilova, A. F.& Kucukaslan, A.& Serbetci, A.. Generalized Fractional Integral Operators on Generalized Local Morrey Spaces. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1068293
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068293