Generalized capacities, compound curves and removable sets
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 27, Tome 404 (2012), pp. 100-119

Voir la notice de l'article provenant de la source Math-Net.Ru

Relations between the generalized capacity of a condenser in sense of Aikawa–Ohtsuka and the module of a family of compound curves connecting the condenser plates through a given set are established. Conditions of the removability of compact for the generalized capacity of a condenser are obtained. Properties of the extremal length of vector measures are used.
@article{ZNSL_2012_404_a5,
     author = {Yu. V. Dymchenko and V. A. Shlyk},
     title = {Generalized capacities, compound curves and removable sets},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {100--119},
     publisher = {mathdoc},
     volume = {404},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a5/}
}
TY  - JOUR
AU  - Yu. V. Dymchenko
AU  - V. A. Shlyk
TI  - Generalized capacities, compound curves and removable sets
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2012
SP  - 100
EP  - 119
VL  - 404
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a5/
LA  - ru
ID  - ZNSL_2012_404_a5
ER  - 
%0 Journal Article
%A Yu. V. Dymchenko
%A V. A. Shlyk
%T Generalized capacities, compound curves and removable sets
%J Zapiski Nauchnykh Seminarov POMI
%D 2012
%P 100-119
%V 404
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a5/
%G ru
%F ZNSL_2012_404_a5
Yu. V. Dymchenko; V. A. Shlyk. Generalized capacities, compound curves and removable sets. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 27, Tome 404 (2012), pp. 100-119. http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a5/