Monge–Ampère measures associated with semi-exhaustive functions

Abstract In 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 $$\p...

Full description

Bibliographic Details
Main Author: Ahmad K. Al Abdulaali
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:Arabian Journal of Mathematics
Subjects:
Online Access:https://doi.org/10.1007/s40065-022-00409-6