Autor:	Seuret, Stéphane, Vigneron, François
Rok vydání:	2013
Předmět:	Mathematics - Functional Analysis Mathematics - Metric Geometry 28A80 35R03 46E35 42C40
Druh dokumentu:	Working Paper
DOI:	10.1017/S1474748015000092
Popis:	In this article, we investigate the pointwise behaviors of functions on the Heisenberg group. We find wavelet characterizations for the global and local H\"older exponents. Then we prove some a priori upper bounds for the multifractal spectrum of all functions in a given H\"older, Sobolev or Besov space. These upper bounds turn out to be optimal, since in all cases they are reached by typical functions in the corresponding functional spaces. We also explain how to adapt our proof to extend our results to Carnot groups. Comment: 35 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1311.1972 Zobrazit plný text záznamu View this record from Arxiv