A problem on extremal quasiconformal extensions |
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| Authors: | Chen Zhi-guo |
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| Institution: | 1.Department of Mathematics,Zhejiang University,Hangzhou,China |
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| Abstract: | In this paper we give a short survey on a problem on extremal quasiconformal extensions. It had been a conjecture for a long time that the dilatations K0(h) and K1(h) are equal before Anderson and Hinkkanen disproved this by constructing concrete examples of a family of affine mappings of some parallelograms. The problem also engendered many interesting results. At the end of the current paper, we discuss relationships among K0(h), H(h) and K1(h) as a concluding remark. |
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