论具有准共形扩展的单值函数的积分手段谱

arXiv - MATH - Complex Variables Pub Date : 2024-07-27 DOI:arxiv-2407.19240

Jianjun Jin

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引用次数: 0

摘要

在这篇论文中，我们证明了任何单值函数（univalentfunction）的积分均方差谱，只要它允许向扩展复平面进行类平方扩展，那么它的积分均方差谱就严格小于普遍积分均方差谱。这就肯定地回答了我们最近论文中提出的一个问题。

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 the integral means spectrum of univalent functions with quasconformal extensions

In this note we show that the integral means spectrum of any univalent function admitting a quasiconformal extension to the extended complex plane is strictly less than the universal integral means spectrum. This gives an affirmative answer to a question raised in our recent paper.

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来源期刊

arXiv - MATH - Complex Variables

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