Factorization of delta-monotone linear mappings

Abstract: For a delta-monotone linear mapping we prove that the factors in the polar decomposition are delta-monotone. Also, we prove that every delta-monotone linear mapping can be factored into a product of -monotone mappings for any . As an application in nonlinear case, we give a new proof of the following fact: the quasiconformality constant of a -monotone mapping can be chosen such that tends to 1 as tends to 1. [Copyright &y& Elsevier]