Abstract
We consider best m-term approximation in L p (R d ) with wave packets generated by a single refinable function. The main examples of wave packets are orthonormal wavelets, or more generally wavelet frames based on a multiresolution analysis (so-called framelets). The approximation classes associated with best m-term approximation in L p (R d ) for a large class of wave packets are completely characterized in terms of Besov spaces. As an. application of the main result, we show that for m-term approximation in L p (R d ) with elements from an oversampled version of a framelet system with compactly supported generators, the associated approximation classes turn out to be (essentially) Besov spaces.
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