Best approximation with wavelets in weighted Orlicz spaces

Details Best approximation with wavelets in weighted Orlicz spaces Best approximation with wavelets in weighted Orlicz spaces

2009-11-25

arxiv.org/abs/0911.4907v1

Mathematics

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22 pages with references

Scientific paper

Democracy functions of wavelet admissible bases are computed for weighted Orlicz Spaces in terms of its fundamental function. In particular, we prove that these bases are greedy if and only if the Orlicz space is a Lebesgue space. Also, sharp embeddings for the approximation spaces are given in terms of weighted discrete Lorentz spaces. For Lebesgue spaces the approximation spaces are identified with weighted Besov spaces.

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