Dimensions of Riesz products and pluriharmonic measures

Fuente: arXiv
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Autore principale: Doubtsov, Evgueni
Natura: Preprint
Pubblicazione: 2024
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author Doubtsov, Evgueni
author_facet Doubtsov, Evgueni
contents We estimate the energy and Hausdorff dimensions of the Riesz products on the unit sphere of $\mathbb{C}^n$, $n\ge 2$. Also, we obtain similar results for the pluriharmonic measures on the torus.
format Preprint
id arxiv_https___arxiv_org_abs_2405_14609
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dimensions of Riesz products and pluriharmonic measures
Doubtsov, Evgueni
Complex Variables
42A55, 28A78, 31C10, 43A85
We estimate the energy and Hausdorff dimensions of the Riesz products on the unit sphere of $\mathbb{C}^n$, $n\ge 2$. Also, we obtain similar results for the pluriharmonic measures on the torus.
title Dimensions of Riesz products and pluriharmonic measures
topic Complex Variables
42A55, 28A78, 31C10, 43A85
url https://arxiv.org/abs/2405.14609