Riesz capacities of a set due to Dobiński

We study the Riesz $(a,p)$-capacity of the so called Dobiński set. We characterize the values of the parameters $a$ and $p$ for which the $(a,p)$-Riesz capacity of the Dobiński set is positive. In particular we show that the Dobiński set has positive logarithmic capacity, thus answering a question o...

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Bibliographic Details
Main Authors: Arcozzi, Nicola, Chalmoukis, Nikolaos
Format: Article
Language:English
Published: Académie des sciences 2022-06-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.332/