Hausdorff Measures and Functions of Bounded Quadratic Variation

Apatsidis, D; Argyros, S; Kanellopoulos, V

dc.contributor.author	Apatsidis, D	en
dc.contributor.author	Argyros, S	en
dc.contributor.author	Kanellopoulos, V	en
dc.date.accessioned	2014-03-01T01:57:51Z
dc.date.available	2014-03-01T01:57:51Z
dc.date.issued	2009	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28562
dc.relation.uri	http://arxiv.org/abs/0903.2809	en
dc.subject	banach space	en
dc.subject	Function Space	en
dc.subject	hausdorff measure	en
dc.subject	Quadratic Variation	en
dc.subject	Stopping Time	en
dc.title	Hausdorff Measures and Functions of Bounded Quadratic Variation	en
heal.type	journalArticle	en
heal.publicationDate	2009	en
heal.abstract	To each function $f$ of bounded quadratic variation ($f\in V_2$) we associatea Hausdorff measure $\mu_f$. We show that the map $f\to\mu_f$ is locallyLipschitz and onto the positive cone of $\mathcal{M}[0,1]$. We use the measures$\{\mu_f:f\in V_2\}$ to determine the structure of the subspaces of $V_2^0$which either contain $c_0$ or the square stopping time space $S^2$.	en