0$. However, even in a metric space, their exponent is in general quite small. In this paper, ..." />

All Title Author
Keywords Abstract

Mathematics  2013 

Almost Lipschitz-continuous wavelets in metric spaces via a new randomization of dyadic cubes

Full-Text   Cite this paper   Add to My Lib

Abstract:

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.

Full-Text

comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

微信:OALib Journal