Barrlund's distance function and quasiconformal maps
Barrlund's distance function and quasiconformal maps
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DOI：
10.1080/17476933.2020.1751137
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发表时间：
2019-03
影响因子：
0.9
通讯作者：
Masayo Fujimura;M. Mocanu;M. Vuorinen
中科院分区：
文献类型：
--
作者：
Masayo Fujimura;M. Mocanu;M. Vuorinen
对R. Li，Barrlund [p-相对距离是一个度量。SIAM J Matrix Anal Appl.1999;21：699.702]引入了一个距离函数，它是一个子域上的度量，我们研究了这个Barrlund度量，并给出了它在当前感兴趣的其他度量方面的精确界。我们还证明了准共形映射下的Barrlund度量的尖锐失真结果。
Answering a question about triangle inequality suggested by R. Li, Barrlund [The p-relative distance is a metric. SIAM J Matrix Anal Appl. 1999;21:699.702] introduced a distance function which is a metric on a subdomain of We study this Barrlund metric and give sharp bounds for it in terms of other metrics of current interest. We also prove sharp distortion results for the Barrlund metric under quasiconformal maps.