Posted: Fri May 13, 2005 5:44 pm    Post subject: Discontinuous Subharmonic functions

Is there an explicit example of a subharmonic function, defined on some open subset of the complex plane, such that it has some discontinuity on that open subset? Thanks!

(A subharmonic function is, by definition, an upper semicontinuous function that satisifies the sub-mean-value inequality at each point in its domain.)