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arXiv · 2003.00084

Convexity in Multivalued Harmonic Functions

Immanuel Ben Porat
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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.

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Immanuel Ben Porat. 2020-02-28. Convexity in Multivalued Harmonic Functions. https://arxiv.org/abs/2003.00084

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