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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.

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Acknowledgements

This work was partially supported by JSPS KAKENHI Grant No. 19K03531 and by JSPS Grant BR171101.

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Authors and Affiliations

  1. Department of Mathematics, National Defense Academy of Japan, Yokosuka, Japan

    Masayo Fujimura

  2. Department of Mathematics and Informatics, Vasile Alecsandri University of Bacau, Bacau, Romania

    Marcelina Mocanu

  3. Department of Mathematics and Statistics, University of Turku, Turku, Finland

    Matti Vuorinen

Authors
  1. Masayo Fujimura
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  2. Marcelina Mocanu
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  3. Matti Vuorinen
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Corresponding author

Correspondence to Masayo Fujimura.

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Dedicated to Professor Pekka Koskela on the occasion of his sixtieth birthday.

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Fujimura, M., Mocanu, M. & Vuorinen, M. A new intrinsic metric and quasiregular maps. Complex Anal Synerg 7, 6 (2021). https://doi.org/10.1007/s40627-021-00066-z

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