Wavelet Decomposition Techniques and Hardy Inequalities for Function Spaces on Cellular Domains

@inproceedings{Scharf2013WaveletDT,
  title={Wavelet Decomposition Techniques and Hardy Inequalities for Function Spaces on Cellular Domains},
  author={B. Scharf},
  year={2013}
}
A rather tricky question is the construction of wavelet bases on domains for suitable function spaces (Sobolev, Besov, Triebel-Lizorkin type). In his monograph from 2008, Triebel presented an approach how to construct wavelet (Riesz) bases in function spaces of Besov and Triebel-Lizorkin type on cellular domains, in particular on the cube. However, he had to exclude essential exceptional values of the smoothness parameter s, for instance the theorems do not cover the Sobolev space W 1 2 (Q) on… CONTINUE READING

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