Extension of plurisubharmonic functions with growth control

Details Extension of plurisubharmonic functions with growth control Extension of plurisubharmonic functions with growth control

2010-07-01

arxiv.org/abs/1007.0262v1

Mathematics

Complex Variables

14 pages

Scientific paper

Suppose that $X$ is an analytic subvariety of a Stein manifold $M$ and that $\varphi$ is a plurisubharmonic (psh) function on $X$ which is dominated by a continuous psh exhaustion function $u$ of $M$. Given any number $c>1$, we show that $\varphi$ admits a psh extension to $M$ which is dominated by $cu$ on $M$. We use this result to prove that any $\omega$-psh function on a subvariety of the complex projective space is the restriction of a global $\omega$-psh function, where $\omega$ is the Fubini-Study K\"ahler form.

Affiliated with

Also associated with

No associations

Rating

Extension of plurisubharmonic functions with growth control does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Extension of plurisubharmonic functions with growth control, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extension of plurisubharmonic functions with growth control will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-727361