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A note on quarkonial systems and multilevel partition of unity methods

A note on quarkonial systems and multilevel partition of unity methods

Abstract We discuss the connection between the theory of quarkonial decompositions for function spaces developed by Hans Triebel, and the multilevel partition of unity method. The central result is an alternative approach to the stability of quarkonial decompositions in Besov spaces \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$B_{pp}^s({\mathbb {R}}^n)$\end{document} , s > n (1/ p − …