Singular measures and $(1,p)$-capacity on weighted Sobolev classes

A. S. Romanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: Conditions are studied under which the contribution of the singular part of a measure to the $(1,p)$-capacity of an arbitrary condenser is zero.

Keywords: measure, capacity, Sobolev space.

UDC: 517.518.11

Received: 18.11.2002

 English version: Siberian Mathematical Journal, 2003, 44:2, 346–349

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