QUASICONFORMALITY AND EQUIVALENT NORMS

Silviu Craciunas

Address. Department of Mathematics, University ``Lucian Blaga", Sibiu 2400, ROMANIA

E-mail: craciuns@jupiter.sibiu.ro

Abstract. 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.

AMSclassification. 30C65

Keywords. Quasiconformality, quasiconformal homeomorphisms, normed space, equivalent norms, renorming.