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Article

Craciunas, Silviu
Quasiconformality and equivalent norms. (English). Archivum Mathematicum, vol. 37 (2001), issue 2, pp. 115-123
MSC: 30C65, 46G20 | MR 1838408 | Zbl 1090.30502
Keywords:
quasiconformality; quasiconformal homeomorphisms; normed space; equivalent norms; renorming
Summary:
We study the behaviour of a quasiconformal mapping when we change the norms of the considered normed spaces by other equivalent norms. We propose a new metric definition with which we can study the interdependence between a quasiconformal homeomorphism and the new equivalent norms of the normed spaces.
References:
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[2] Crăciunaṣ S.: Quasiconformité dans les espaces localements convexes. Bull. Math. de la Soc. Math. de Roumanie, Tome 34 (82), 1 (1990), 8–16. MR 1086917
[3] Frunză M.: On an analytic characterization of quasiconformality in normed spaces. An. Ştiinţ. Univ. Al.I. Cuza Iaşi 25, (1979), 273–278. MR 0562311 | Zbl 0433.30014
[4] Väisälä J.: Quasimöbius maps. J. Anal. Math. 44 (1984/85), 218–234. DOI 10.1007/BF02790198
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