Subextension of plurisubharmonic functions without increasing the total Monge–Ampère mass

Abstract

Abstract. We prove that subextension of certain plurisubharmonic functions is always possible without increasing the total Monge-Ampère mass.

The complex Monge–Ampère operator

“…[41,75] for further applications). This chapter is mainly based on the joint work of the author and Lisa Hed in [47]. Here we shall prove the following theorem.…”

Subextension of plurisubharmonic functions with boundary values in weighted pluricomplex energy classes

“…We have (dd c w) n = {u=−∞}∩ (dd c u) n < +∞ then Proposition 2.2 in [6] implies that w ∈ F( , f ). Put…”

“…Namely, in 2008, in [6], the authors showed that if and are two bounded hyperconvex domains such that ⊂ ⊂ C n , n ≥ 1 and…”