Geodesic
Plurisubharmonic domination
Lempert, László1
1 Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Journal of the American Mathematical Society, Tome 17 (2004) no. 2, pp. 361-372

Voir la notice de l'article provenant de la source American Mathematical Society

For a large class of separable Banach spaces $X$ we prove the following. Given a pseudoconvex open $\Omega \subset X$ and $u:\Omega \to \mathbb {R}$ that is locally bounded above, there is a plurisubharmonic $v:\Omega \to \mathbb {R}$ such that $u\le v$. We also discuss applications of this result.
DOI : 10.1090/S0894-0347-03-00448-X

Lempert, László 1

1 Department of Mathematics, Purdue University, West Lafayette, Indiana 47907 
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Lempert, László. Plurisubharmonic domination. Journal of the American Mathematical Society, Tome 17 (2004) no. 2, pp. 361-372. doi: 10.1090/S0894-0347-03-00448-X

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