Wavelet Estimation for Convolution of Densities With Additive Noises

The estimation for convolution of densities with additive noises by wavelets was discussed in this parer. Wavelet estimator of the convolution of densities was constructed and the upper bounds over L^p risk on Besov balls B_{r, q}^s(L, M) were provided. When r ≥ p=2, our result coincides with Chesneau & Navarro, s (2014) theorem.