Coorbit description and atomic decomposition of Besov spaces

Details Coorbit description and atomic decomposition of Besov spaces Coorbit description and atomic decomposition of Besov spaces

2011-10-31

arxiv.org/abs/1110.6676v2

Mathematics

Functional Analysis

Scientific paper

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.

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