Non-linear Approximation and Interpolation Spaces

  title={Non-linear Approximation and Interpolation Spaces},
  author={George Kyriazis},
  journal={Journal of Approximation Theory},
We study n-term wavelet-type approximations in Besov and Triebel–Lizorkin spaces. In particular, we characterize spaces of functions which have prescribed degree of n-term approximation in terms of interpolation spaces. These results are applied to identify interpolation spaces between Triebel–Lizorkin and Besov spaces.