亚纯极小曲面的偏差与扩展

Pub Date : 2020-01-01 DOI:10.18910/73739

A. Kowalski, I. Marchenko

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引用次数: 1

摘要

本文研究了亚纯极小曲面的模的分离极大点数目对其生长量和值分布的影响。我们根据Nevanlinna缺陷、偏差大小和mmms范数的分离点数给出了mmms扩展的尖锐估计。我们还给出了表明估计是尖锐的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Deviations and Spreads of Meromorphic Minimal Surfaces

In this paper we consider the influence that the number of separated maximum points of the norm of a meromorphic minimal surface (m.m.s) has on the magnitudes of growth and value distribution. We present sharp estimations of spread of m.m.s in terms of Nevanlinna’s defect, magnitude of deviation and the number of separated points of the norm of m.m.s. We also give examples showing that the estimates are sharp.

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