Generalized Fractional Integral Operators on Generalized Local Morrey Spaces. (22nd April 2015)
- Record Type:
- Journal Article
- Title:
- Generalized Fractional Integral Operators on Generalized Local Morrey Spaces. (22nd April 2015)
- Main Title:
- Generalized Fractional Integral Operators on Generalized Local Morrey Spaces
- Authors:
- Guliyev, V. S.
Ismayilova, A. F.
Kucukaslan, A.
Serbetci, A. - Other Names:
- Verbitsky Igor E. Academic Editor.
- Abstract:
- Abstract : We study the continuity properties of the generalized fractional integral operator I ρ on the generalized local Morrey spaces L M p, φ { x 0 } 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 { x 0 } to another L M q, φ 2 { x 0 }, 1 < p < q < ∞, and from L M 1, φ 1 { x 0 } to the weak space W L M q, φ 2 { x 0 }, 1 < q < ∞ . We also find conditions on the pair ( φ, ρ ) which ensure the Adams-type boundedness of I ρ from M p, φ 1 / p to M q, φ 1 / q for 1 < p < q < ∞ and from M 1, φ to W M q, φ 1 / 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 φ 1 ( x, r ), φ 2 ( x, r ), and φ ( x, r ) in r .
- Is Part Of:
- Journal of function spaces. Volume 2015(2015)
- Journal:
- Journal of function spaces
- Issue:
- Volume 2015(2015)
- Issue Display:
- Volume 2015, Issue 2015 (2015)
- Year:
- 2015
- Volume:
- 2015
- Issue:
- 2015
- Issue Sort Value:
- 2015-2015-2015-0000
- Page Start:
- Page End:
- Publication Date:
- 2015-04-22
- Subjects:
- Function spaces -- Periodicals
515.7305 - Journal URLs:
- https://www.hindawi.com/journals/jfs/ ↗
- DOI:
- 10.1155/2015/594323 ↗
- Languages:
- English
- ISSNs:
- 2314-8896
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 14672.xml