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Symmetrization of P...
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Berman, Robert,1976Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
(author)
Symmetrization of Plurisubharmonic and Convex Functions
- Article/chapterEnglish2014
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Indiana University Mathematics Journal,2014
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LIBRIS-ID:oai:gup.ub.gu.se/202478
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https://gup.ub.gu.se/publication/202478URI
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https://doi.org/10.1512/iumj.2014.63.5209DOI
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https://research.chalmers.se/publication/202478URI
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
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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.
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Berndtsson, Bo,1950Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)bob
(author)
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Göteborgs universitetInstitutionen för matematiska vetenskaper, matematik
(creator_code:org_t)
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In:Indiana University Mathematics Journal: Indiana University Mathematics Journal63:2, s. 345-3650022-2518
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