Open Access
2014 Interpolation of Gentle Spaces
Mourad Ben Slimane, Hnia Ben Braiek
Abstr. Appl. Anal. 2014: 1-9 (2014). DOI: 10.1155/2014/801531


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.


Download Citation

Mourad Ben Slimane. Hnia Ben Braiek. "Interpolation of Gentle Spaces." Abstr. Appl. Anal. 2014 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 1261.46020
MathSciNet: MR3208568
Digital Object Identifier: 10.1155/2014/801531

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
Back to Top