Details

Autor(en) / Beteiligte

• Dahlke, Stephan
• Oswald, Peter
• Raasch, Thorsten

Titel

A note on quarkonial systems and multilevel partition of unity methods

Ist Teil von

• Mathematische Nachrichten, 2013-04, Vol.286 (5-6), p.600-613

Ort / Verlag

Germany: WILEY-VCH Verlag

Erscheinungsjahr

2013

Link zum Volltext

Quelle

Wiley Online Library Journals Frontfile Complete

Beschreibungen/Notizen

• 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 − 1)+, which leads to relaxed decay assumptions on the elements of a quarkonial system as the monomial degree grows.