Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator
Joint Authors
Guliyev, Emin V.
Mammadov, Yagub Y.
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-08
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 some embeddings into the Morrey space (D-Morrey space) Lp,λ,α, 0≤λ<2α+2 and modified Morrey space (modified D-Morrey space) L̃p,λ,α associated with the Dunkl operator on ℝ.
As applications we get boundedness of the fractional maximal operator Mβ, 0≤β<2α+2, associated with the Dunkl operator (fractional D-maximal operator) from the spaces Lp,λ,α to L∞(ℝ) for p=(2α+2-λ)/β and from the spaces L̃p,λ,α(ℝ) to L∞(ℝ) for (2α+2-λ)/β≤p≤(2α+2)/β.
American Psychological Association (APA)
Guliyev, Emin V.& Mammadov, Yagub Y.. 2010. Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-988663
Modern Language Association (MLA)
Guliyev, Emin V.& Mammadov, Yagub Y.. Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator. Abstract and Applied Analysis No. 2010 (2010), pp.1-10.
https://search.emarefa.net/detail/BIM-988663
American Medical Association (AMA)
Guliyev, Emin V.& Mammadov, Yagub Y.. Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-988663
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-988663