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Final Comments

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2096)

Abstract

In this chapter we briefly discuss the inner distortion function. We also give the connection in the plane between mappings of finite distortion and solutions to a degenerate Beltrami equation. Finally, we study the shape of the image of the unit disk under a mapping of finite distortion and we show that certain families of mappings with exponentially integrable distortion are closed under weak convergence.

Keywords

  • Unit Disk
  • Quasiconformal Mapping
  • Singular Integral Operator
  • Point Property
  • Distortion Function

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Fig. 7.1

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Hencl, S., Koskela, P. (2014). Final Comments. In: Lectures on Mappings of Finite Distortion. Lecture Notes in Mathematics, vol 2096. Springer, Cham. https://doi.org/10.1007/978-3-319-03173-6_7

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