  We develop the concept of surface multifractality for
localization-delocalization (LD) transitions in disordered electronic systems.
We point out that the critical behavior of various observables related to wave
functions near a boundary at a LD transition is different from that in the
bulk. We illustrate this point with a calculation of boundary critical and
multifractal behavior at the 2D spin quantum Hall transition and in a 2D metal
at scales below the localization length.
