2025年5月7日 星期三

 
ON EXTREMALITY AND UNIQUE EXTREMALITY OF TEICHM\"ULLER MAPPINGS

Citation:

Lai Wancai,Wu Zhemin.ON EXTREMALITY AND UNIQUE EXTREMALITY OF TEICHM\"ULLER MAPPINGS[J].Chinese Annals of Mathematics B,1995,16(3):399~406
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Authors:

Lai Wancai; Wu Zhemin
Abstract: Consider the Teichm\"uller mapping $f$ associated with $\vp$ in the unit disc $D$ and the class of all quasiconformal mappings in $D$ with the boundary values of $f$. For a special holomorphic function $\vp,$ the present paper gives the necessary and sufficient condition on $\vp,$ such that $f$ is uniquely extremal among the class. Further, for a general holomorphic function $\vp,$ the authors suggest the models of the best possible growth conditions on $\vp,$ such that $f$ is extremal or uniquely extremal among the class respectively.

Keywords:

Teichm\"uller mapping, Extremality, Unique extremality

Classification:

30C70
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