Convexity of the class of currents with finite relative energy

We prove the convexity of the class of currents with finite relative energy. A key ingredient is an integration by parts formula for relative non-pluripolar products which is of independent interest.Comment: 10 page

Density currents and relative non-pluripolar products

We compare the notion of relative non-pluripolar products and that of density currents on compact Kahler manifolds.Comment: 12 page