  We have shown that in systems where the Coulomb interaction is strongly
suppressed, the superconducting transition temperature may be enhanced by
disorder close to the Anderson localization transition. This phenomenon is
based on the enhancement by disorder of the matrix element of attraction in the
Cooper channel. For enhancement to take place one needs (i) strong disorder
which makes the single-particle wave functions strongly inhomogeneous in space
and (ii) strong correlation of the patterns of inhomogeneity for different
wavefunctions. One case where such correlation is well known is the system
close to the Anderson transition. We review the notion of multifractality of
wavefunctions in this region and show how the enhancement of T_{c} arises out
of the multifractal correlations.
