Dimensional estimates for measures on quaternionic spheres
Analysis of PDEs
2022-11-24 v1 Complex Variables
Abstract
In this article we provide lower bounds for the lower Hausdorff dimension of finite measures assuming certain restrictions on their quaternionic spherical harmonics expansion. This estimate is an analog of a result previously obtained by the authors for the complex spheres.
Cite
@article{arxiv.2211.12927,
title = {Dimensional estimates for measures on quaternionic spheres},
author = {Rami Ayoush and Michał Wojciechowski},
journal= {arXiv preprint arXiv:2211.12927},
year = {2022}
}