0000000000013915

AUTHOR

P. Koskela

Analytic Properties of Quasiconformal Mappings Between Metric Spaces

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.

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Sobolev Extensions Via Reflections

We show that certain extension results obtained by Maz’ya and Poborchi for domains with an outward peak can be realized via composition operators generated by reflections. We also study the case of the complementary domains. peerReviewed

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