Ikonen, Toni ORCID: 0000-0001-5969-7912 and Romney, Matthew (2022). Quasiconformal geometry and removable sets for conformal mappings. J. Anal. Math., 148 (1). S. 119 - 186. JERUSALEM: HEBREW UNIV MAGNES PRESS. ISSN 1565-8538
Full text not available from this repository.Abstract
We study metric spaces defined via a conformal weight, or more generally a measurable Finsler structure, on a domain omega subset of Double-struck capital R-2 that vanishes on a compact set E subset of omega and satisfies mild assumptions. Our main question is to determine when such a space is quasiconformally equivalent to a planar domain. We give a characterization in terms of the notion of planar sets that are removable for conformal mappings. We also study the question of when a quasiconformal mapping can be factored as a 1-quasiconformal mapping precomposed with a bi-Lipschitz map.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-667287 | ||||||||||||
DOI: | 10.1007/s11854-022-0224-5 | ||||||||||||
Journal or Publication Title: | J. Anal. Math. | ||||||||||||
Volume: | 148 | ||||||||||||
Number: | 1 | ||||||||||||
Page Range: | S. 119 - 186 | ||||||||||||
Date: | 2022 | ||||||||||||
Publisher: | HEBREW UNIV MAGNES PRESS | ||||||||||||
Place of Publication: | JERUSALEM | ||||||||||||
ISSN: | 1565-8538 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
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URI: | http://kups.ub.uni-koeln.de/id/eprint/66728 |
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