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On the extremality of quasiconformal mappings and quasiconformal deformations |
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| Authors: | Shen Yu-Liang |
| Institution: | Department of Mathematics, Suzhou University, Suzhou 215006, People's Republic of China |
| Abstract: | Given a family of quasiconformal deformations  such that  has a uniform bound  , the solution  of the Löwner-type differential equation
is an |
| Keywords: | Quasiconformal mapping quasiconformal deformation extremality |
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-quasiconformal mapping. An open question is to determine, for each fixed 
, whether the extremality of 
is equivalent to that of 
. The note gives this a negative approach in both directions.