Kalaj, David Lipschitz spaces and harmonic mappings. (English) Zbl 1180.30029 Ann. Acad. Sci. Fenn., Math. 34, No. 2, 475-485 (2009). Quasiconformal (qc) harmonic mappings were apparently first considered by O. Martio in 1968 [Ann. Acad. Sci. Fenn., Ser. A I 425, 10 p. (1968; Zbl 0162.37902)].Thirty years later many authors continued this work: D. Partyka and K.-I. Sakan [J. Comput. Appl. Math. 105, No. 1–2, 425–436 (1999; Zbl 0951.30017)], M. Pavlović [Ann. Acad. Sci. Fenn., Math. 27, No. 2, 365–372 (2002; Zbl 1017.30014)], D. Kalaj [Complex Variables, Theory Appl. 48, No. 2, 175–187 (2003; Zbl 1041.30006)], and M. Arsenović, V. Kojić and M. Mateljević [Ann. Acad. Sci. Fenn., Math. 33, No. 1, 315–318 (2008; Zbl 1140.31003)].Refining his earlier results the author proves that a qc harmonic map \(f: \Omega_1 \to \Omega_2\) between two Jordan domains \( \Omega_j\) with \(C^{j,\alpha}\) boundaries, \(j=1,2\), is bilipschitz. Reviewer: Matti Vuorinen (Turku) Cited in 1 ReviewCited in 10 Documents MSC: 30C55 General theory of univalent and multivalent functions of one complex variable 30C62 Quasiconformal mappings in the complex plane Keywords:quasiconformal maps; harmonic maps Citations:Zbl 0162.37902; Zbl 0951.30017; Zbl 1017.30014; Zbl 1041.30006; Zbl 1140.31003 PDFBibTeX XMLCite \textit{D. Kalaj}, Ann. Acad. Sci. Fenn., Math. 34, No. 2, 475--485 (2009; Zbl 1180.30029) Full Text: arXiv