Quasiconformal geometry and removable sets for conformal mappings
نویسندگان
چکیده
We study metric spaces defined via a conformal weight, or more generally measurable Finsler structure, on domain Ω ⊂ ℝ2 that vanishes compact set E and satisfies mild assumptions. Our main question is to determine when such space quasiconformally equivalent planar domain. give characterization in terms of the notion sets are removable for mappings. also quasiconformal mapping can be factored as 1-quasiconformal precomposed with bi-Lipschitz map.
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ژورنال
عنوان ژورنال: Journal D Analyse Mathematique
سال: 2022
ISSN: ['0021-7670', '1565-8538']
DOI: https://doi.org/10.1007/s11854-022-0224-5