Kiikka, Maire Diffeomorphic approximation of quasiconformal and quasisymmetric homeomorphisms. (English) Zbl 0565.30015 Ann. Acad. Sci. Fenn., Ser. A I, Math. 8, 251-256 (1983). Continuing the study of J. Luukkainen and P. Tukia [ibid. 6, 343-367 (1981; Zbl 0456.57005)] on piecewise linear approximation for quasisymmetric embeddings and also his own [Ann. Acad. Sci. Fenn., Ser. A I, Diss. 30, 24 p. (1980; Zbl 0421.57005)] for quasiconformal and bilipschitzian homeomorphisms, the author obtains their \(C^{\infty}\)- diffeomorphic approximation. Reviewer: P.Caraman Cited in 1 ReviewCited in 3 Documents MSC: 30C62 Quasiconformal mappings in the complex plane 30E10 Approximation in the complex plane 26A16 Lipschitz (Hölder) classes 57R12 Smooth approximations in differential topology Keywords:quasisymmetric homeomorphisms; quasiconformal and bilipschitzian homeomorphisms; \(C^{\infty }\)-diffeomorphic approximation Citations:Zbl 0456.57005; Zbl 0421.57005 PDFBibTeX XMLCite \textit{M. Kiikka}, Ann. Acad. Sci. Fenn., Ser. A I, Math. 8, 251--256 (1983; Zbl 0565.30015) Full Text: DOI