0$. However, even in a metric space, their exponent is in general quite small. In this paper, ..." />  Home OALib Journal OALib PrePrints Submit Ranking News My Lib FAQ About Us Follow Us+  All Title Author Keywords Abstract  Publish in OALib Journal ISSN: 2333-9721 APC: Only$99

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Mathematics  2013

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

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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.

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