On regularization of plurisubharmonic functions on manifolds

Blocki, Zbigniew; Kolodziej, Slawomir

doi:10.1090/S0002-9939-07-08858-2

On regularization of plurisubharmonic functions on manifolds
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by Zbigniew Blocki and Slawomir Kolodziej PDF

Proc. Amer. Math. Soc. 135 (2007), 2089-2093 Request permission

Abstract:

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

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