Construction of Hamilton sequences for certain Teichmüller mappings
Construction of Hamilton sequences for certain Teichmüller mappings
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DOI：
10.1090/s0002-9939-1988-0947659-2
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发表时间：
1988-03
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影响因子：
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通讯作者：
E. Reich
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文献类型：
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作者：
E. Reich
设sup{|i fjif<；1ic(Z)cp(Z)dx dyl：Ep(Z)分析Ilz<；1，ff，i1<；1Ip(Z)i dxdy=1}=esssup{/IK(Z)i：izi<；1}。考虑了与平面拟共形映射有关的某些函数类/c(Z)的极值序列的构造性判定问题。例如，这样的序列{v eo}是针对与Strebel烟囱区域的仿射伸展有关的/c(Z)显式构造的。
Suppose sup{|I fJif<1 ic(z)cp(z) dx dyl: ep(z) analytic for Ilz < 1, ff,i 1<1 Ip (z)I dxdy = 1} = esssup{/IK(z)I: IzI < 1}. The question of constructive determination of extremal sequences { pv } is considered for some classes of functions /c(z) that arise in connection with plane quasiconformal mappings. For example, such a sequence {v eo} is constructed explicitly for the /c(z) that arises in connection with the affine stretch of Strebel's chimney domain.