Wavelet-type frames and wavelet-type bases.
Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces
We study the continuity and compactness of embeddings for radial Besov and Triebel-Lizorkin spaces with weights in the Muckenhoupt class . The main tool is a discretization in terms of an almost orthogonal wavelet expansion adapted to the radial situation.
When is the last degree solution of a Bézout identity nonnegative on the interval [-1,1]?
We give conditions such that the least degree solution of a Bézout identity is nonnegative on the interval [-1,1].
Why minimax is not that pessimistic
In nonparametric statistics a classical optimality criterion for estimation procedures is provided by the minimax rate of convergence. However this point of view can be subject to controversy as it requires to look for the worst behavior of an estimation procedure in a given space. The purpose of this paper is to introduce a new criterion based on generic behavior of estimators. We are here interested in the rate of convergence obtained with some classical estimators on almost every, in the sense...