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Symmetrization of Plurisubharmonic and Convex Functions

Journal article
Authors Robert Berman
Bo Berndtsson
Published in Indiana University Mathematics Journal
Volume 63
Issue 2
Pages 345-365
ISSN 0022-2518
Publication year 2014
Published at Department of Mathematical Sciences, Mathematics
Pages 345-365
Language en
Links dx.doi.org/10.1512/iumj.2014.63.520...
https://gup.ub.gu.se/file/193943
Keywords Plurisubharmonic, Monge-Ampere, Mathematics
Subject categories Mathematics

Abstract

We show that Schwarz symmetrization does not increase the Monge-Ampere energy for S-1-invariant plurisubharmonic functions in the ball. As a result, we derive a sharp Moser-Trudinger inequality for such functions. We also show that similar results do not hold for other balanced domains except for complex ellipsoids, and discuss related questions for convex functions.

Page Manager: Webmaster|Last update: 9/11/2012
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