Interpolation of Gentle Spaces
Joint Authors
Ben Slimane, Mourad
Ben Braiek, Hnia
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-06
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The notion of gentle spaces, introduced by Jaffard, describes what would be an “ideal” function space to work with wavelet coefficients.
It is based mainly on the separability, the existence of bases, the homogeneity, and the γ-stability.
We prove that real and complex interpolation spaces between two gentle spaces are also gentle.
This shows the relevance and the stability of this notion.
We deduce that Lorentz spaces Lp,q and Hp,q spaces are gentle.
Further, an application to nonlinear approximation is presented.
American Psychological Association (APA)
Ben Slimane, Mourad& Ben Braiek, Hnia. 2014. Interpolation of Gentle Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014810
Modern Language Association (MLA)
Ben Slimane, Mourad& Ben Braiek, Hnia. Interpolation of Gentle Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1014810
American Medical Association (AMA)
Ben Slimane, Mourad& Ben Braiek, Hnia. Interpolation of Gentle Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014810
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014810