6533b855fe1ef96bd12b06a2
RESEARCH PRODUCT
A note on quarkonial systems and multilevel partition of unity methods
Stephan DahlkeThorsten RaaschPeter Oswaldsubject
AlgebraMonomialPure mathematicsDegree (graph theory)Partition of unityFunction spaceGeneral MathematicsBernstein inequalitiesStability (probability)Connection (mathematics)Mathematicsdescription
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 , s > n(1/p − 1)+, which leads to relaxed decay assumptions on the elements of a quarkonial system as the monomial degree grows.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-07 | Mathematische Nachrichten |