A global domination principle for P-pluripotential theory

TL;DR

This paper establishes a global domination principle within P-pluripotential theory, enabling broader applications such as a general product property for P-extremal functions, through the construction of a strictly plurisubharmonic P-potential.

Contribution

It introduces a global domination principle in P-pluripotential theory and proves the existence of a strictly plurisubharmonic P-potential, expanding theoretical foundations.

Findings

Proved a global domination principle in P-pluripotential theory.

Established a general product property for P-extremal functions.

Demonstrated the existence of a strictly plurisubharmonic P-potential.

Abstract

We prove a global domination principle in the setting of P-pluripotential theory. This has many applications including a general product property for P-extremal functions. The key ingredient is the proof of the existence of a strictly plurisubharmonic P-potential.