Factoring the higher dimensional quasiconformal mappings
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- by Zhengxu He and Jinsong Liu PDF
- Trans. Amer. Math. Soc. 372 (2019), 5341-5353 Request permission
Abstract:
With the aid of the logarithmic spiral mapping, we construct $n(\geq 3)$-dimensional quasiconformal homeomorphisms which admit no minimal factorizations in linear, inner, or outer dilatations.References
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Additional Information
- Zhengxu He
- Affiliation: HLM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- Jinsong Liu
- Affiliation: School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
- MR Author ID: 692700
- Email: zhe6666@gmail.com, liujsong@math.ac.cn
- Received by editor(s): May 30, 2018
- Received by editor(s) in revised form: August 18, 2018, and August 21, 2018
- Published electronically: May 23, 2019
- Additional Notes: The second author was supported by NSF of China (No. 11671057, 11471318, 11688101)
- © Copyright 2019 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 372 (2019), 5341-5353
- MSC (2010): Primary 30C65, 32A30
- DOI: https://doi.org/10.1090/tran/7679
- MathSciNet review: 4014278