Monge–Ampère measures associated with semi-exhaustive functions

Abstract

AbstractIn this paper, we study the current $$T \wedge \text {{dd}}^{c}\psi $$ T ∧ dd c ψ for positive currents T and semi-exhaustive, not necessarily plurisubharmonic, functions $$\psi $$ ψ . The study leads to new definitions of capacity and Lelong–Demailly numbers with respect to the weight $$\psi $$ ψ .