Duality of Moduli and Quasiconformal Mappings in Metric Spaces
Duality of Moduli and Quasiconformal Mappings in Metric Spaces
复制标题
度量空间中模的对偶性和拟共形映射
DOI：
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发表时间：
2019
影响因子：
1
通讯作者：
P. Lahti
中科院分区：
文献类型：
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作者：
Rebekah Jones;P. Lahti
摘要：在配备加倍测度并支持庞加莱不等式的完备度量空间的设置下，我们证明了连接两个集合的曲线族的模和分隔集合的曲面族的模对偶关系。然后我们应用它来证明拟共形映射可以通过以下事实来表征：它们准保留某些曲面族的模量。
Abstract We prove a duality relation for the moduli of the family of curves connecting two sets and the family of surfaces separating the sets, in the setting of a complete metric space equipped with a doubling measure and supporting a Poincaré inequality. Then we apply this to show that quasiconformal mappings can be characterized by the fact that they quasi-preserve the modulus of certain families of surfaces.
全局 Q 有界几何的度量空间之间的有限周长组和拟共形映射的族模
影响因子：
1.1
作者：
Jones, Rebekah;Lahti, Panu;Shanmugalingam, Nageswari
通讯作者：
Shanmugalingam, Nageswari