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- W2275584959 abstract "A homeomorphism f of a set f of a set is said to be an L-quasiisometry of for all and if whenever ∞ ∈ E. Next f is said to have an M-quasiisometric extension to F ⊂ R 2 if there exists an M-quasiisometry g of E ∪ F such that g|E=f Suppose next that D is a Jordan domain in R 2 with boundary C and that ϕ is an L-quasiisometry of C. This paper contains complete solutions to the following Schoenflies type extension problems. Problem A. Given a domain D for which quasiisometries ϕ of C does ϕ have a quasiisometric extension g to D? Problem B. For which domains D does each quasiisometry ϕ of C have a quasiisometric extension g to D? It turns out that when C ⊂ R 2, each quasiisometry ϕ of C has a quasiisometric extension to D if and only if D is a quasidisk." @default.
- W2275584959 created "2016-06-24" @default.
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- W2275584959 date "1986-03-01" @default.
- W2275584959 modified "2023-09-28" @default.
- W2275584959 title "Extension of quasiisometric embeddings of jordan curves" @default.
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- W2275584959 doi "https://doi.org/10.1080/17476938608814145" @default.
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