We study the Riesz -capacity of the so called Dobiński set. We characterize the values of the parameters and for which the -Riesz capacity of the Dobiński set is positive. In particular we show that the Dobiński set has positive logarithmic capacity, thus answering a question of Dayan, Fernandéz and González. We approach the problem by considering the dyadic analogues of the Riesz -capacities which seem to be better adapted to the problem.
Arcozzi, N., Chalmoukis, N. (2022). Riesz capacities of a set due to Dobiński. COMPTES RENDUS MATHÉMATIQUE, 360, 679-685 [10.5802/crmath.332].
Riesz capacities of a set due to Dobiński.
Arcozzi, Nicola;Chalmoukis, Nikolaos
2022
Abstract
We study the Riesz -capacity of the so called Dobiński set. We characterize the values of the parameters and for which the -Riesz capacity of the Dobiński set is positive. In particular we show that the Dobiński set has positive logarithmic capacity, thus answering a question of Dayan, Fernandéz and González. We approach the problem by considering the dyadic analogues of the Riesz -capacities which seem to be better adapted to the problem.File in questo prodotto:
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