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.
Riesz capacities of a set due to Dobiński / Arcozzi, Nicola; Chalmoukis, Nikolaos. - In: COMPTES RENDUS MATHÉMATIQUE. - ISSN 1631-073X. - STAMPA. - 360:(2022), pp. 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 | Dimensione | Formato | |
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