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abstract:
We consider embeddings between weighted Sobolev spaces (Kondratiev spaces) relevant for the regularity theory for such elliptic problems, and Triebel-Lizorkin spaces, which are known to be closely related to approximation spaces for nonlinear n-term wavelet approximation. We provide matching necessary and sufficient conditions for such embeddings.
As a further application we discuss the relation of these embedding results with results by Gaspoz and Morin for approximation classes for adaptive Finite element approximation. |
