English

A new intrinsic metric and quasiregular maps

Complex Variables 2021-04-05 v2

Abstract

We introduce a new intrinsic metric in subdomains of a metric space and give upper and lower bounds for it in terms of well-known metrics. We also prove distortion results for this metric under quasiregular maps.

Keywords

Cite

@article{arxiv.2005.14035,
  title  = {A new intrinsic metric and quasiregular maps},
  author = {Masayo Fujimura and Marcelina Mocanu and Matti Vuorinen},
  journal= {arXiv preprint arXiv:2005.14035},
  year   = {2021}
}

Comments

12 pages, 2 figures. arXiv admin note: text overlap with arXiv:1903.12475