WFRF:(Berndtsson Bo 1950)
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Symmetrization of Plurisubharmonic and Convex Functions
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- Berman, Robert, 1976 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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- Berndtsson, Bo, 1950 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
- (creator_code:org_t)
- Indiana University Mathematics Journal, 2014
- 2014
- English.
- In: Indiana University Mathematics Journal. - : Indiana University Mathematics Journal. - 0022-2518. ; 63:2, s. 345-365
- Journal article (peer-reviewed)
Abstract
Subject headings
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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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Plurisubharmonic
- Monge-Ampere
- Mathematics
- Plurisubharmonic
Publication and Content Type
- ref (subject category)
- art (subject category)
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