On the Edrei–Goldberg–Ostrovskii Theorem for Minimal Surfaces

On the Edrei–Goldberg–Ostrovskii Theorem for Minimal Surfaces

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, Wima...

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Veröffentlicht in:Analysis mathematica (Budapest) 2023-09, Vol.49 (3), p.807-823
Hauptverfasser: Kowalski, A., Marchenko, I. I.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
Minimal surfaces
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Beschreibung
Zusammenfassung: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.
ISSN:0133-3852
1588-273X
DOI:10.1007/s10476-023-0230-6