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Maximal subextensions of plurisubharmonic functions

Autor: Cegrell, U., Kołodziej, S., Zeriahi, A.

In this paper we are concerned with the problem of local and global subextensions of (quasi-)plurisubharmonic functions from a "regular" subdomain of a compact K\"ahler manifold. We prove that a precise bound on the complex Monge-Amp\`ere mass of the

Externí odkaz: http://arxiv.org/abs/1009.4605

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Partial pluricomplex energy and integrability exponents of plurisubharmonic functions

Autor: Åhag, P., Cegrell, U., Kołodziej, S., Pham, H. H., Zeriahi, A.

We give a sufficient condition on the Monge-Amp\`ere mass of a plurisubharmonic function $u$ for $\exp (- 2 u)$ to be locally integrable. This gives a pluripotential theoretic proof of a theorem by J-P. Demailly.
Comment: extended version with n

Externí odkaz: http://arxiv.org/abs/0804.3954

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Subextension of plurisubharmonic functions with weak singularities

Autor: Cegrell, U., Kolodziej, S., Zeriahi, A.

We prove several results showing that plurisubharmonic functions with various bounds on their Monge-Ampere masses on a bounded hyperconvex domain always admit global plurisubharmonic subextension with logarithmic growth at infinity.

Externí odkaz: http://arxiv.org/abs/math/0409302

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