Some remarques on permutations which preserves the weighted density

Abstract

In this paper we study the conditions (1),(2) and (3) for the per-
mutations which preserves the weighted density. These conditions are
motivated by the conditions of Lévy group, originated in [LEV], and
studied in [OB]. In the second part we prove that under some con-
ditions for the sequence of weights, for instance for the logarithmic
density, the rst two conditions can be launched.