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