Hausdorff Measures and Functions of Bounded Quadratic Variation

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dc.creatorApatsidis, D.
dc.creatorArgyros, S. A.
dc.creatorKanellopoulos, V.
dc.date2009-03-16
dc.date2009-03-17
dc.date.accessioned2026-07-07T12:52:55Z
dc.date.available2026-07-07T12:52:55Z
dc.descriptionTo each function $f$ of bounded quadratic variation ($f\in V_2$) we associate a Hausdorff measure $μ_f$. We show that the map $f\toμ_f$ is locally Lipschitz and onto the positive cone of $\mathcal{M}[0,1]$. We use the measures $\{μ_f:f\in V_2\}$ to determine the structure of the subspaces of $V_2^0$ which either contain $c_0$ or the square stopping time space $S^2$.
dc.description36 pages This is a revised version with few typos and linguistic corrections
dc.identifierhttps://arxiv.org/abs/0903.2809
dc.identifierhttp://arxiv.org/abs/0903.2809
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223452
dc.subjectFunctional Analysis
dc.subject28A78, 46B20, 46B26
dc.titleHausdorff Measures and Functions of Bounded Quadratic Variation
dc.typetext

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