度量空间之间映射的边界扩展

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2024-04-23 DOI:10.1007/s13324-024-00906-1

Yao-Lan Tian, Yi Xuan

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引用次数: 0

摘要

在本文中，我们考虑了度量空间之间两类映射的边界扩展。这两类映射特别扩展了研究得很透彻的几何映射，如具有可整数雅各布行列式的准线性映射和具有可整数雅各布行列式的指数可整数畸变映射。我们的主要结果将 Äkkinen 和 Guo（Ann. Mat. Pure. Appl.

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Boundary extensions for mappings between metric spaces

In this paper, we consider boundary extensions of two classes of mappings between metric measure spaces. These two mapping classes extend in particular the well-studied geometric mappings such as quasiregular mappings with integrable Jacobian determinant and mappings of exponentially integrable distortion with integrable Jacobian determinant. Our main results extend the corresponding results of Äkkinen and Guo (Ann. Mat. Pure. Appl. 2017) to the setting of metric measure spaces.

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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.