Abstract

We show that a K-quasiregular $$\omega$$ -curve from a Euclidean domain to a Euclidean space with respect to a covector $$\omega$$ is locally $$(1/K)(\Vert \omega \Vert /|\omega |_{\ell _1})$$ -Hölder continuous. We also show that quasiregular curves enjoy higher integrability.

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