半环的模估计及其在边界扩展问题中的应用

IF 1.6 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-01-31 DOI:10.1007/s13324-025-01019-z

Anatoly Golberg, Toshiyuki Sugawa, Matti Vuorinen

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引用次数: 0

摘要

在我们之前的论文（Golberg et al. In computational Methods Funct Theory 20(3-4): 539-558, 2020）中，我们证明了在\(\mathbb {R}^n\)中具有足够大模量的环域的互补分量可以被一个环形环域分开，并将这一结果应用于拟共形映射下的边界对应问题。在本文中，我们继续这一工作，并研究了一类更大的映射的边界扩展问题。

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Modulus estimates of semirings with applications to boundary extension problems

In our previous paper (Golberg et al. in Comput Methods Funct Theory 20(3–4):539–558, 2020), we proved that the complementary components of a ring domain in \(\mathbb {R}^n\) with large enough modulus may be separated by an annular ring domain and applied this result to boundary correspondence problems under quasiconformal mappings. In the present paper, we continue this work and investigate boundary extension problems for a larger class of mappings.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.