%0 Journal Article
%T Almost Lipschitz-continuous wavelets in metric spaces via a new randomization of dyadic cubes
%A Tuomas Hyt£¿nen
%A Olli Tapiola
%J Mathematics
%D 2013
%I arXiv
%X In any quasi-metric space of homogeneous type, Auscher and Hyt\"onen recently gave a construction of orthonormal wavelets with H\"older-continuity exponent $\eta>0$. However, even in a metric space, their exponent is in general quite small. In this paper, we show that the H\"older-exponent can be taken arbitrarily close to 1 in a metric space. We do so by revisiting and improving the underlying construction of random dyadic cubes, which also has other applications.
%U http://arxiv.org/abs/1310.2047v1