Necessary and Sufficient Conditions for the Boundedness of Dunkl-Type Fractional Maximal Operator in the Dunkl-Type Morrey Spaces
Joint Authors
Guliyev, Emin V.
Mammadov, Yagub Y.
Eroglu, Ahmet
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-07-01
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We consider the generalized shift operator, associated with the Dunkl operator Λα(f)(x)=(d/dx)f(x)+((2α+1)/x)((f(x)-f(-x))/2), α>-1/2.
We study the boundedness of the Dunkl-type fractional maximal operator Mβ in the Dunkl-type Morrey space Lp,λ,α(ℝ), 0≤λ<2α+2.
We obtain necessary and sufficient conditions on the parameters for the boundedness Mβ, 0≤β<2α+2 from the spaces Lp,λ,α(ℝ) to the spaces Lq,λ,α(ℝ), 1
As an application of this result, we get the boundedness of Mβ from the Dunkl-type Besov-Morrey spaces Bpθ,λ,αs(ℝ) to the spaces Bqθ,λ,αs(ℝ), 1
American Psychological Association (APA)
Guliyev, Emin V.& Eroglu, Ahmet& Mammadov, Yagub Y.. 2010. Necessary and Sufficient Conditions for the Boundedness of Dunkl-Type Fractional Maximal Operator in the Dunkl-Type Morrey Spaces. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-988667
Modern Language Association (MLA)
Guliyev, Emin V.…[et al.]. Necessary and Sufficient Conditions for the Boundedness of Dunkl-Type Fractional Maximal Operator in the Dunkl-Type Morrey Spaces. Abstract and Applied Analysis No. 2010 (2010), pp.1-10.
https://search.emarefa.net/detail/BIM-988667
American Medical Association (AMA)
Guliyev, Emin V.& Eroglu, Ahmet& Mammadov, Yagub Y.. Necessary and Sufficient Conditions for the Boundedness of Dunkl-Type Fractional Maximal Operator in the Dunkl-Type Morrey Spaces. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-988667
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-988667