Strengthened Belinskii theorem and its applications

被引:0
|
作者
Krushkal S.L. [1 ,2 ]
机构
[1] Department of Mathematics, Bar-Ilan University, Ramat Gan
[2] Department of Mathematics, University of Virginia, Charlottesville, VA
关键词
abelian quadratic differential; Fredholm eigenvalue; Grunsky operator; quasicircle; quasiconformal maps and reflections; the Belinskii theorem; Univalent function; universal Teichmüller space;
D O I
10.1007/s10958-022-06007-3
中图分类号
学科分类号
摘要
The remarkable theorem of P. Belinskii is a deep underlying result in the variational calculus for quasiconformal maps. It is valid only for maps with small sufficiently regular Beltrami coefficients. We provide a global version of this theorem connected with the classical results on quasiconformal extensions of conformal maps and its new applications. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.
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页码:396 / 414
页数:18
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