Hausdorff Measures and Functions of Bounded Quadratic Variation

D. Apatsidis, S. A. Argyros, V. Kanellopoulos

To each function $f$ of bounded quadratic variation ($f\in V_2$) we associate a Hausdorff measure ${\mu }_f$. We show that the map $f\to {\mu }_f$ is locally Lipschitz and onto the positive c…