Geodesic
Continuity of condenser capacity under holomorphic motions
Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 340-348

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DOI

We show that condenser capacity varies continuously under holomorphic motions, and the corresponding family of the equilibrium measures of the condensers is continuous with respect to the weak-star convergence. We also study the behavior of uniformly perfect sets under holomorphic motions.
DOI : 10.4153/S000843952000048X
Mots-clés : Condenser capacity, equilibrium measure, uniformly perfect sets, holomorphic motions 
Pouliasis, Stamatis. Continuity of condenser capacity under holomorphic motions. Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 340-348. doi: 10.4153/S000843952000048X
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     title = {Continuity of condenser capacity under holomorphic motions},
     journal = {Canadian mathematical bulletin},
     pages = {340--348},
     year = {2021},
     volume = {64},
     number = {2},
     doi = {10.4153/S000843952000048X},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S000843952000048X/}
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