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Analytic Properties of Quasiconformal Map**s Between Metric Spaces

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Metric and Differential Geometry

Part of the book series: Progress in Mathematics ((PM,volume 297))

Abstract

We survey recent developments in the theory of quasiconformal map**s between metric spaces. We examine the various weak definitions of quasiconformality, and give conditions under which they are all equal and imply the strong classical properties of quasiconformal map**s in Euclidean spaces. We also discuss function spaces preserved by quasiconformal map**s.

Mathematics Subject Classification (2000). 30C65,46E30m,46E35.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Jyväskylä, PL 35 MaD, Jyväskylän yliopisto, 40014, Finland

    P. Koskela & K. Wildrick

Authors
  1. P. Koskela
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  2. K. Wildrick
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Corresponding author

Correspondence to P. Koskela .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, University of California, South Hall 6511, Santa Barbara, 93106, New Jersey, USA

    **anzhe Dai

  2. , Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, 08854, New Jersey, USA

    **aochun Rong

Additional information

Dedicated to Jeff Cheeger for his 65th birthday

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Koskela, P., Wildrick, K. (2012). Analytic Properties of Quasiconformal Map**s Between Metric Spaces. In: Dai, X., Rong, X. (eds) Metric and Differential Geometry. Progress in Mathematics, vol 297. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0257-4_6

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