6533b7cefe1ef96bd125799d

RESEARCH PRODUCT

Analytic Properties of Quasiconformal Mappings Between Metric Spaces

P. KoskelaK. Wildrick

subject

Pure mathematicsQuasiconformal mappingMathematics::Dynamical SystemsExtremal lengthMathematics::Complex VariablesInjective metric spaceProduct metricTopologyTriebel–Lizorkin spaceConvex metric spaceMetric spaceComputer Science::GraphicsMetric mapMathematics

description

We survey recent developments in the theory of quasiconformal mappings 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 mappings in Euclidean spaces. We also discuss function spaces preserved by quasiconformal mappings.

yearjournalcountryeditionlanguage
2012-01-01
https://doi.org/10.1007/978-3-0348-0257-4_6