arXiv Open Access 2021

Riesz capacities of a set due to Dobiński

Nicola Arcozzi Nikolaos Chalmoukis

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Abstrak

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 of Dayan, Fernandéz and González. We approach the problem by considering the dyadic analogues of the Riesz $(a,p)$-capacities which seem to be better adapted to the problem.

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math.CA math.NT

Penulis (2)

Nicola Arcozzi

Nikolaos Chalmoukis

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APA MLA BibTeX

Arcozzi, N., Chalmoukis, N. (2021). Riesz capacities of a set due to Dobiński. https://arxiv.org/abs/2110.13657

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓