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QUASICONFORMAL IMAGES OF HÖLDER DOMAINS

By Stephen M. Buckley

Abstract

We introduce and study the k-cap condition and use it to prove that the quasiconformal image of a Hölder domain is itself Hölder if and only if it supports a Trudinger inequality. We compare and contrast the k-cap condition with related slice-type conditions

Year: 2004
OAI identifier: oai:CiteSeerX.psu:10.1.1.147.5331
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