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ON A PROBLEM OF E. REICH
Authors:WU Ze-min
Abstract:In 1981, E. Reich established a theorem which stated a sufficient condition for a quasiconformal mapping to be a unique extremal mapping with the given boundary value, and asked whether or not such a uniquely extremal mapping was a Teichmuller mapping in his remark. In this paper, the above open problem was solved and consequently the theorem was strengthened.
Keywords:quasiconformal mappings  uniquely extremal mapping  Teichmuller mapping
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