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Quasimöbius invariance of Loewner spaces

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Abstract

In this paper, we show that Loewner spaces introduced by Heinonen and Koskela (Acta Math., 1998) are preserved under quasimöbius map**s between Ahlfors regular spaces.

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Authors and Affiliations

  1. School of Mathematics and Big Data, Foshan University, Foshan, 528000, Guangdong, People’s Republic of China

    Tiantian Guan

  2. Department of Mathematics, Hunan First Normal University, Changsha, 410205, Hunan, People’s Republic of China

    Yaxiang Li

Authors
  1. Tiantian Guan
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  2. Yaxiang Li
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Correspondence to Yaxiang Li.

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Communicated by Saminathan Ponnusamy.

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The first author was supported by Department of Education of Guangdong Province, China (No. 2021KTSCX116), by Guangdong Basic and Applied Basic Research Foundation (No. 2021A1515012289), and Research Fund of Guangdong-Hong Kong-Macao Joint Laboratory for Intelligent Micro-Nano Optoelectronic Technology (No. 2020B1212030010). The second author was supported by National Natural Science Foundation of Hunan Province (No. 2021JJ3016), by Scientific Research Fund of Hunan Provincial Education Department (Nos. 20B118, 18C0253), by NNSF of China (No. 11971124) and by NSF of Guangdong Province (No. 2021A1515010326).

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Guan, T., Li, Y. Quasimöbius invariance of Loewner spaces. Bull. Malays. Math. Sci. Soc. 45, 1903–1912 (2022). https://doi.org/10.1007/s40840-022-01296-y

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  • DOI: https://doi.org/10.1007/s40840-022-01296-y

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