On regularization of plurisubharmonic functions on manifolds
Authors:
Zbigniew Blocki and Slawomir Kolodziej
Journal:
Proc. Amer. Math. Soc. 135 (2007), 2089-2093
MSC (2000):
Primary 32U05, 32Q15, 32U25
DOI:
https://doi.org/10.1090/S0002-9939-07-08858-2
Published electronically:
February 2, 2007
MathSciNet review:
2299485
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We study the question of when a 
-plurisubharmonic function on a complex manifold, where 
is a fixed 
-form, can be approximated by a decreasing sequence of smooth 
-plurisubharmonic functions. We show in particular that it is always possible in the compact Kähler case.
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Additional Information
Zbigniew Blocki
Affiliation:
Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
Email:
Zbigniew.Blocki@im.uj.edu.pl
Slawomir Kolodziej
Affiliation:
Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
Email:
Slawomir.Kolodziej@im.uj.edu.pl
DOI:
https://doi.org/10.1090/S0002-9939-07-08858-2
Keywords:
Plurisubharmonic functions,
K\"{a}hler manifolds,
Lelong numbers
Received by editor(s):
March 8, 2006
Published electronically:
February 2, 2007
Additional Notes:
Both authors were partially supported by KBN Grant #2 P03A 03726. The second author was also supported by the Rector of the Jagiellonian University Fund
Communicated by:
Mei-Chi Shaw
Article copyright:
© Copyright 2007
American Mathematical Society