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Plurisubharmonic domination

Author(s): László Lempert
Journal: J. Amer. Math. Soc. 17 (2004), 361-372.
MSC (2000): Primary 32Txx, 32U05, 46G20
Posted: November 25, 2003
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Abstract: 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.

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Additional Information:

László Lempert
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email: lempert@math.purdue.edu

DOI: 10.1090/S0894-0347-03-00448-X
PII: S 0894-0347(03)00448-X
Received by editor(s): March 6, 2003
Posted: November 25, 2003
Additional Notes: Research partially supported by an NSF grant
Copyright of article: Copyright 2003, American Mathematical Society

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