Abstract:In Landkof's monograph [8, p. 213] it is asserted that logarithmic capacity is strongly subadditive, and therefore that it is a Choquet capacity. An example demonstrating that logarithmic capacity is not even subadditive can be found e.g. in [6, Example 7.20], see also [3, p. 803]. In this paper we will show this fact with the help of the fine topology in potential theory.
Keywords: logarithmic capacity, fine topology
AMS Subject Classification: Primary 31C40; Secondary 30C85