On the Hausdorff dimension of continuous functions belonging to Hölder and Besov spaces on fractal d-sets

António Caetano, Abel Carvalho

The Hausdorff dimension of the graphs of the functions in Hölder and Besov spaces (in this case with integrability p \geq 1) on fractal d-sets is studied. Denoting by s \in (0,1] t…