Article ID Journal Published Year Pages File Type
4624301 Journal of Mathematical Analysis and Applications 2006 24 Pages PDF
Abstract

We define sequence spaces based on the distributions of the wavelet coefficients in the spirit of [S. Jaffard, Beyond Besov spaces, part I: Distributions of wavelet coefficients, J. Fourier Anal. Appl. 10 (2004) 221–246]. We study their topology and especially show that they can be endowed with a (unique) complete metric for which compact sets can be explicitly described and we study properties of this metric. We also give relationships with Besov spaces.

Related Topics
Physical Sciences and Engineering Mathematics Analysis