2022 Convexity In Multivalued Harmonic Functions
Immanuel Ben Porat
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Real Anal. Exchange 47(2): 261-280 (2022). DOI: 10.14321/realanalexch.47.2.1582827875

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. "Convexity In Multivalued Harmonic Functions." Real Anal. Exchange 47 (2) 261 - 280, 2022. https://doi.org/10.14321/realanalexch.47.2.1582827875

Information

Published: 2022
First available in Project Euclid: 10 February 2023

Digital Object Identifier: 10.14321/realanalexch.47.2.1582827875

Subjects:
Primary: 28A75 , 35A15
Secondary: 49Q15

Keywords: geometric measure theory , Mass minimizing currents , Q-valued functions

Rights: Copyright © 2022 Michigan State University Press

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Vol.47 • No. 2 • 2022
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