On the bounds of coefficients of Daubechie's orthonormal wavelets

Abstract

In the present work we provide the bounds for Daubechies orthonormal wavelet coefficients for function spaces ${\mathcal{A}}_k^p:=\{f:\Vert (i\omega {)}^k\hat{f}(\omega ){\Vert }_p<\infty \}$, $k\in \mathbf{N}\cup \{0\}$, $p\in (1,\infty )$.