Generalized capacities and polyhedral surfaces
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 25, Tome 383 (2010), pp. 148-178
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In the paper, we apply the theory of extremal length of vector measures to establish that the generalized condenser capacity in the sense of Aikawa and Ohtsuka is related to the module of a family of surfaces separating the condenser's plates and no intersecting prescribed set. We prove that the system of the polyhedral surfaces from the above family is sufficient to approximate the module of this family. Bibl. 17 titles.
@article{ZNSL_2010_383_a10,
author = {P. A. Pugach and V. A. Shlyk},
title = {Generalized capacities and polyhedral surfaces},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {148--178},
publisher = {mathdoc},
volume = {383},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_383_a10/}
}
P. A. Pugach; V. A. Shlyk. Generalized capacities and polyhedral surfaces. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 25, Tome 383 (2010), pp. 148-178. http://geodesic.mathdoc.fr/item/ZNSL_2010_383_a10/