Logarithmic capacity is not subadditive – a fine topology approach
Commentationes Mathematicae Universitatis Carolinae (1992)
- Volume: 33, Issue: 1, page 67-72
- ISSN: 0010-2628
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topPyrih, Pavel. "Logarithmic capacity is not subadditive – a fine topology approach." Commentationes Mathematicae Universitatis Carolinae 33.1 (1992): 67-72. <http://eudml.org/doc/247386>.
@article{Pyrih1992,
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.gi̇n [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.},
author = {Pyrih, Pavel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {logarithmic capacity; fine topology; Choquet capacity; subadditivity; Wiener's test; logarithmic capacity},
language = {eng},
number = {1},
pages = {67-72},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Logarithmic capacity is not subadditive – a fine topology approach},
url = {http://eudml.org/doc/247386},
volume = {33},
year = {1992},
}
TY - JOUR
AU - Pyrih, Pavel
TI - Logarithmic capacity is not subadditive – a fine topology approach
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 1
SP - 67
EP - 72
AB - 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.gi̇n [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.
LA - eng
KW - logarithmic capacity; fine topology; Choquet capacity; subadditivity; Wiener's test; logarithmic capacity
UR - http://eudml.org/doc/247386
ER -
References
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- Helms L.L., Introduction to Potential Theory, Wiley Interscience Pure and Applied Mathematics 22, New-York (1969). (1969) Zbl0188.17203MR0261018
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- Landkof N.S., Foundations of Modern Potential Theory, (translation from [8]), Springer-Verlag, Berlin (1972). (1972) Zbl0253.31001MR0350027
- Lukeš J., Malý J., Zajíček L., Fine Topology Methods in Real Analysis and Potential Theory, Lecture Notes in Mathematics No. 1189, Springer-Verlag, Berlin (1986). (1986) MR0861411
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