Democracy functions and optimal embeddings for approximation spaces

Details Democracy functions and optimal embeddings for approximation spaces Democracy functions and optimal embeddings for approximation spaces

2009-11-25

arxiv.org/abs/0911.4900v1

Mathematics

Functional Analysis

24 pages with references

Scientific paper

We prove optimal embeddings for nonlinear approximation spaces in terms of
weighted Lorentz sequence spaces, with the weights depending on the democracy
functions of the basis. As applications we recover known embeddings for
$N$-term wavelet approximation in Lebesgue, Orlicz, and Lorentz norms. We also
study the "greedy classes" introduced by Gribonval and Nielsen.

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