Abstract
AbstractWe consider thresholding with respect to anisotropic wavelet bases measuring the approximation error in anisotropic Hardy spaces $ H^a_p $ for p > 0, which are known to be equal to Lp 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. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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