On regularization of plurisubharmonic functions on manifolds

Zbigniew Blocki, Slawomir Kolodziej

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Source: Crossref

Published: Feb 2, 2007

DOI: 10.1090/s0002-9939-07-08858-2

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Source abstract

We study the question of when a γ \gamma -plurisubharmonic function on a complex manifold, where γ \gamma is a fixed ( 1 , 1 ) (1,1) -form, can be approximated by a decreasing sequence of smooth γ \gamma -plurisubharmonic functions. We show in particular that it is always possible in the compact Kähler case.

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