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

Published online by Cambridge University Press:  22 January 2016

Takeo Ohsawa  and
Nessim Sibony
Takeo Ohsawa
Affiliation:
Graduate School of Mathematics, Nagoya University, Chikusa-hu, Nagoya 464-8602, Japan
Nessim Sibony
Affiliation:
Univ. Paris Sud, Mathématiques, Bât 425, 91405 Orsay, France
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Abstract.

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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 149 , March 1998 , pp. 1 - 8
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1998

References

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