%0 Journal Article
%T Besov regularity of the uniform empirical process
%A Gane Samb Lo
%A Ahmadou Bamba Sow
%J Mathematics
%D 2012
%I arXiv
%X The paths of Brownian motion have been widely studied in the recent years relatively in Besov spaces $B_{p, \infty}^\a$. The results are the same as to the Brownian bridge. In fact these regularities properties are established in some sequence spaces $S_{p, \infty}^\a$ using an isomorphisim between them and $B_{p, \infty}^\a$. In this note, we are concerned with the regularity of the paths of the continuous version of the uniform empirical process in the space $S_{p, \infty}^\a$ and in one of his separable sub space $S_{p, \infty}^{\a, 0}$ for a suitable choice of $\a$ and $p$.
%U http://arxiv.org/abs/1208.4551v2