In this paper, we first study subextensions of m-subharmonic functions with given boundary values. The results are used to approximate an m-subharmonic function by an increasing sequence of ...m-subharmonic functions defined on larger domains.
In this note, we give some results on maximal subextensions of plurisubharmonic functions on hyperconvex domains in
C
n
and introduce the notion about cone of maximal subextensions of ...plurisubharmonic functions. Furthermore, we establish the invariant of this cone through proper holomorphic surjections.
The aim of this note is to establish a result on subextension of
m
-subharmonic functions in the class
F
m
(
Ω
)
with the precise description of the complex Hessian measure of the subextend function.
In this paper, we consider subextensions of plurisubharmonic functions on bounded hyperconvex domains. Under some conditions, we prove the convergence in capacity of maximal subextensions with given ...boundary values.
The aim of the paper is to investigate the Monge-Ampère measures of maximal subextensions of plurisubharmonic functions with given boundary values. As an application, we study the approximation of ...negative plurisubharmonic function with given boundary values by an increasing sequence of plurisubharmonic functions defined in larger domains.
In this paper, we investigate subextension of plurisubharmonic functions in the weighted pluricomplex energy class
. Moreover, we show the equality of the weighted Monge-Ampère measures of ...subextension and the given function.
The aim of the paper was to investigate subextension of plurisubharmonic functions in unbounded hyperconvex domains without changing the Monge-Ampère measures. As an application, we study ...approximation of plurisubharmonic functions with given boundary values in unbounded hyperconvex domains in
.
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