Logarithmic capacity is not subadditive – a fine topology approach
Pyrih, Pavel
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992), p. 67-72 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1992-01-01
Classification:  30C85,  31A15,  31C40,  60J45 
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     author = {Pavel Pyrih},
     title = {Logarithmic capacity is not subadditive -- a fine topology approach},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {33},
     year = {1992},
     pages = {67-72},
     zbl = {0764.31006},
     mrnumber = {1173748},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118472}
}

Pyrih, Pavel. Logarithmic capacity is not subadditive – a fine topology approach. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 67-72. http://gdmltest.u-ga.fr/item/118472/

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