Interpolation of gentle spaces
Journal Article
رابط المنشور على الويب:
المجلة \ الصحيفة:
Abstract and Applied Analysis
رقم العدد:
Volume 2014 (2014), Article ID 801531
رقم الإصدار السنوي:
Volume 2014 (2014), Article ID 801531
الصفحات:
Volume 2014 (2014), Article ID 801531
مستخلص المنشور:
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 and spaces are gentle. Further, an application to nonlinear approximation is presented.