Karakalpak Scientific Journal


We deals with the differential properties of the potential to some Borel measure of order, where Riesz kernel. The smoothness of Riesz potential out of some set of small Lebesgue measure is proved. The method of proof is based on the representation theorem of subharmonic function with the help of potential associated with a Borel measure. The result complements the well-known theorem of Cartan.

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