Structured, compactly supported Banach frame decompositions of decomposition spaces

This paper presents a framework for constructing structured, possibly compactly supported Banach frames and atomic decompositions for decomposition spaces. Such a decomposition space $\def\DecompSp#1#2#3#4{{\mathcal{D}({#1},L_{#4}^{#2},{#3})}}\Deco