![](/images/graphics-bg.png)
Structure Theorem for Functionals in the Space ? ω 1 , ω 2 ′
Joint Authors
Yasein, Mohd M.
Obiedat, Hamed M.
Shatanawi, Wasfi A.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2007-12-30
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We introduce the space ? ω 1 , ω 2 of all C ∞ functions ϕ such that sup | α | ≤ m ∥ e k ω 1 ∂ α ϕ ∥ ∞ and sup | α | ≤ m ∥ e k ω 2 ∂ α ϕ ^ ∥ ∞ are finite for all k ∈ ℕ 0 , α ∈ ℕ 0 n , where ω 1 and ω 2 are two weights satisfying the classical Beurling conditions.
Moreover, we give a topological characterization of the space ? ω 1 , ω 2 without conditions on the derivatives.
For functionals in the dual space ? ω 1 , ω 2 ′ , we prove a structure theorem by using the classical Riesz representation thoerem.
American Psychological Association (APA)
Obiedat, Hamed M.& Shatanawi, Wasfi A.& Yasein, Mohd M.. 2007. Structure Theorem for Functionals in the Space ? ω 1 , ω 2 ′. International Journal of Mathematics and Mathematical Sciences،Vol. 2008, no. 2008, pp.1-9.
https://search.emarefa.net/detail/BIM-987907
Modern Language Association (MLA)
Obiedat, Hamed M.…[et al.]. Structure Theorem for Functionals in the Space ? ω 1 , ω 2 ′. International Journal of Mathematics and Mathematical Sciences No. 2008 (2008), pp.1-9.
https://search.emarefa.net/detail/BIM-987907
American Medical Association (AMA)
Obiedat, Hamed M.& Shatanawi, Wasfi A.& Yasein, Mohd M.. Structure Theorem for Functionals in the Space ? ω 1 , ω 2 ′. International Journal of Mathematics and Mathematical Sciences. 2007. Vol. 2008, no. 2008, pp.1-9.
https://search.emarefa.net/detail/BIM-987907
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-987907