Convexity in Multivalued Harmonic Functions

2020/02/28 by Porat, Immanuel Ben
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2003.00084

Abstract

We investigate variants of a Three Circles type Theorem in the context of Q-valued functions. We prove some convexity inequalities related to the L² growth function in the Q-valued settings. Optimality of these inequalities and comparsion to the case of real valued harmonic functions is also discussed.

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