2010/12/30 by Caetano, António, Carvalho, Abel
#26A16 #26B35 #28A78 #28A80 #42C40 #46E35 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1101.0147
The Hausdorff dimension of the graphs of the functions in Hölder and Besov spaces (in this case with integrability p ≥ 1) on fractal d-sets is studied. Denoting by s ∈ (0,1] the smoothness parameter, the sharp upper bound mind+1-s,d/s is obtained. In particular, when passing from d ≥ s to d