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On the Edrei–Goldberg–Ostrovskii Theorem for Minimal Surfaces

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Abstract

This paper is devoted to the development of Beckenbach’s theory of the meromorphic minimal surfaces. We consider the relationship between the number of separated maximum points of a meromorphic minimal surface and the Baernstein’s T*-function. The results of Edrei, Goldberg, Heins, Ostrovskii, Wiman are generalized. We also give examples showing that the obtained estimates are sharp.

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  1. Institute of Mathematics, University of Szczecin, Wielkopolska 15, Szczecin, 70-451, Poland

    A. Kowalski & I. I. Marchenko

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  1. A. Kowalski
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  2. I. I. Marchenko
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Correspondence to A. Kowalski.

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Kowalski, A., Marchenko, I.I. On the Edrei–Goldberg–Ostrovskii Theorem for Minimal Surfaces. Anal Math 49, 807–823 (2023). https://doi.org/10.1007/s10476-023-0230-6

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  • DOI: https://doi.org/10.1007/s10476-023-0230-6

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