Anisotropic wavelet bases and thresholding

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We consider thresholding with respect to anisotropic wavelet bases measuring the approximation error in anisotropic Hardy spaces H p a for p > 0, which are known to be equal to L p for p > 1. In particular, we characterize those functions that provide a specific convergence rate by intrinsic smoothness properties. To this end we apply restricted nonlinear approximation, see [3], which is a generalization of n-term approximation in which a weight function is used to control the terms of the approximations.

Original languageEnglish
JournalMathematische Nachrichten
Issue number5-6
Pages (from-to)523-533
Number of pages11
Publication statusPublished - 2007
Externally publishedYes

    Research areas

  • Mathematics
  • Anisotropic besov spaces, Anisotropic Hardy spaces, Anisotropic wavelet bases, Nonlinear approximation, Restricted nonlinear approximation, Thresholding, Wavelet shrinkage