This is an announcement for the paper "Hausdorff measures and functions of bounded quadratic variation" by D.Apatsidis, S.A.Argyros, and V.Kanellopoulos.
Abstract: To each function $f$ in the space $V_2$ we associate a Hausdorff measure $\mu_f$. We show that the map $f\to\mu_f$ is locally Lipschitz 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 $S^2$.
Archive classification: math.FA
Mathematics Subject Classification: 28A78, 46B20, 46B26
Remarks: 36 pages
The source file(s), haus_quad2.tex: 141123 bytes, is(are) stored in gzipped form as 0903.2809.gz with size 38kb. The corresponding postcript file has gzipped size 219kb.
Submitted from: sargyros@math.ntua.gr
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