  We begin by shortly recalling a generalized mean value inequality for
subharmonic functions, and two applications of it: first a weighted boundary
behavior result (with some new references and remarks), and then a borderline
case result to Suzuki's nonintegrability results for superharmonic and
subharmonic functions. The main part of the talk consists, however, of partial
improvements to Blanchet's removable singularity results for subharmonic,
plurisubharmonic and convex functions.
