Density in Spaces of Interpolation by Hankel Translates of a Basis Function
Joint Authors
Marrero, Isabel
Arteaga, Cristian
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-28
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The function spaces Ym (m∈ℤ+) arising in the theory of interpolation by Hankel translates of a basis function, as developed by the authors elsewhere, are defined through a seminorm which is expressed in terms of the Hankel transform of each function and involves a weight w.
At least two special classes of weights allow to write these indirect seminorms in direct form, that is, in terms of the function itself rather than its Hankel transform.
In this paper, we give fairly general conditions on w which ensure that the Zemanian spaces ℬμ and ℋμ (μ>−1/2) are dense in Ym (m∈ℤ+).
These conditions are shown to be satisfied by the weights giving rise to direct seminorms of the so-called type II.
American Psychological Association (APA)
Arteaga, Cristian& Marrero, Isabel. 2013. Density in Spaces of Interpolation by Hankel Translates of a Basis Function. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-500110
Modern Language Association (MLA)
Arteaga, Cristian& Marrero, Isabel. Density in Spaces of Interpolation by Hankel Translates of a Basis Function. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-500110
American Medical Association (AMA)
Arteaga, Cristian& Marrero, Isabel. Density in Spaces of Interpolation by Hankel Translates of a Basis Function. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-500110
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500110