2009/11/25 by Maria de Natividade, de Natividade, Maria
Mathematics · #41A17 #42C40 #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #History and Overview (math.HO) #Mathematical Approximation and Integration #math.HO #msc:41A17 #msc:42C40
paper · pdf · doi:10.48550/arxiv.0911.4907
22 pages with references
arxiv created 2009/11/25 · openalex publication_date 2009/11/25 · arxiv updated 2009/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.