scholarly journals On the behavior of strictly plurisubharmonic functions near real hypersurfaces

2007 ◽  
Vol 45 (1) ◽  
pp. 71-82
Author(s):  
Björn Ivarsson
Keyword(s):  
Real Hypersurfaces ◽  
Plurisubharmonic Functions

scholarly journals Bounded p.s.h. functions and pseudoconvexity in Kähler manifold

1998 ◽  
Vol 149 ◽  
pp. 1-8 ◽  
Author(s):  
Takeo Ohsawa ◽  
Nessim Sibony
Keyword(s):  
Kähler Manifold ◽  
Pseudoconvex Domains ◽  
Real Hypersurfaces ◽  
Plurisubharmonic Functions ◽  
Kahler Manifold

Abstract.It is proved that the C2-smoothly bounded pseudoconvex domains in Pn admit bounded plurisubharmonic exhaustion functions. Further arguments are given concerning the question of existence of strictly plurisubharmonic functions on neighbourhoods of real hypersurfaces in Pn.

Sign in / Sign up

Export Citation Format

Share Document