Abstract

This discussion shall be devoted mainly, though not exclusively, to four different kinds of exceptional sets in classical potential theory which also have applications to certain questions in complex analysis. In future we shall restrict ourselves to a region (open, connected set) 9 c R p (p ~ 2) that tolerates a Green function G in the usual sense. In relation to this region the four kinds of exceptional sets that shall be the principal object of our attention are now listed as follows:

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