Convexity in Multivalued Harmonic Functions
Analysis of PDEs
2022-10-27 v3
Abstract
We investigate variants of a Three Circles type Theorem in the context of \mathcal{Q}-valued functions. We prove some convexity inequalities related to the L^{2} growth function in the \mathcal{Q}-valued settings. Optimality of these inequalities and comparsion to the case of real valued harmonic functions is also discussed.
Cite
@article{arxiv.2003.00084,
title = {Convexity in Multivalued Harmonic Functions},
author = {Immanuel Ben Porat},
journal= {arXiv preprint arXiv:2003.00084},
year = {2022}
}
Comments
16 pages. Real Analysis Exchange. Vol. 47(2) 2022 pp. 1-19