Some remarks on the Fuglede p–modulus

We study the properties of extremal function for the Fuglede's p–modulus of a measure family Σ. Based on the recent result concerning p–modulus showing the existence of certain Borel measure n Σ on Σ, we give an interpretation of n Σ in some simple cases. In particular, we consider the case of disjoint supports and a natural family of measures associated with a double fibration.