Estimation of wavelet coefficients on some classes of functions

Vladislav Babenko, Susanna Spektor

Let ${\Psi }_m^D$ be orthogonal Daubechies wavelets that have m zero moments and let $$W_{2,p}^k=\{f\in L_2(R):\Vert (I\omega {)}^k\hat{f}(\omega ){\Vert }_p\le 1\},k\in N.$$ We prove that $$ \lim_{m \…