Name: A new intrinsic metric and quasiregular maps
Keywords: Mathematics - Complex Variables, 30C20, 30C15, 51M99, ta111, FOS: Mathematics, Complex Variables (math.CV)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 26 Feb 2021Embargo end date: 01 Jan 2020 English Publisher:Springer Science and Business Media LLCJournal:Complex Analysis and its Synergies, volume 7 (issn: 2524-7581, eissn: 2197-120X,

Authors: Masayo Fujimura; Marcelina Mocanu; Matti Vuorinen;

doi: 10.1007/s40627-021-00066-z , 10.48550/arxiv.2005.14035

arXiv: http://arxiv.org/abs/2005.14035

A new intrinsic metric and quasiregular maps

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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.

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

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Keywords

Mathematics - Complex Variables, 30C20, 30C15, 51M99, ta111, FOS: Mathematics, Complex Variables (math.CV)

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