  Irreversible adsorption of spheres on flat collectors having dimension $d<2$
is studied. Molecules are adsorbed on Sierpinski's Triangle and Carpet like
fractals ($1<d<2$), and on General Cantor Set ($d<1$). Adsorption process is
modeled numerically using Random Sequential Adsorption (RSA) algorithm. The
paper concentrates on measurement of fundamental properties of coverages, i.e.
maximal random coverage ratio and density autocorrelation function, as well as
RSA kinetics. Obtained results allow to improve phenomenological relation
between maximal random coverage ratio and collector dimension. Moreover,
simulations show that, in general, most of known dimensional properties of
adsorbed monolayers are valid for non-integer dimensions.
