Document Type

Article

Date

6-27-2010

Embargo Period

11-11-2011

Disciplines

Mathematics

Description/Abstract

We prove that planar homeomorphisms can be approximated by diffeomorphisms in the Sobolev space W1,2 and in the Royden algebra. As an application, we show that every discrete and open planar mapping with a holomorphic Hopf differential is harmonic.

Additional Information

This article is from arXiv.org, for more information see http://arxiv.org/abs/1006.5174

Source

Harvested from arXiv.org

Creative Commons License

Creative Commons Attribution 3.0 License
This work is licensed under a Creative Commons Attribution 3.0 License.

Included in

Mathematics Commons

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