Coorbit description and atomic decomposition of Besov spaces
Functional Analysis
2012-03-14 v2
Abstract
Function spaces are central topic in analysis. Often those spaces and related analysis involves symmetries in form of an action of a Lie group. Coorbit theory as introduced by Feichtinger and Gr\"ochenig and then later extended in [3] gives a unified method to construct Banach spaces of functions based on representations of Lie groups. In this article we identify the homogeneous Besov spaces on stratified Lie groups introduced in [13] as coorbit spaces in the sense of [3] and use this to derive atomic decompositions for the Besov spaces.
Keywords
Cite
@article{arxiv.1110.6676,
title = {Coorbit description and atomic decomposition of Besov spaces},
author = {Jens Gerlach Christensen and Azita Mayeli and Gestur Olafsson},
journal= {arXiv preprint arXiv:1110.6676},
year = {2012}
}