Corpus ID: 237592766

Rad\'{o}- type theorem for subharmonic and plurisubharmonic functions

  title={Rad\'\{o\}- type theorem for subharmonic and plurisubharmonic functions},
  author={Sławomir Dinew and .Zywomir Dinew},
Abstract. We observe that a recent result by Gardiner and Sjödin, solving a problem of Král on subharmonic functions, can be easily generalized to yield a somewhat stronger result. This can be combined with a viscosity technique of ours, which we slightly improve, to obtain Radótype theorems for plurisubharmonic functions. Finally, we study the Borel complexity of the critical set and the set where the gradient does not exist finitely of subharmonic functions and general real valued functions. 


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