The L2 extension theorem with an optimal constant is included, obtained recently by Z. Błocki and separately by Q.-A. Guan and X.-Y. Zhou. In Chapter 4, various results on the Bergman kernel are presented, including recent works of Maitani-Yamaguchi, Berndtsson, Guan-Zhou, and Berndtsson-Lempert. Most of these results are obtained by the L2

B. Berndtsson and L. Lempert, A proof of the Ohsawa–Takegoshi theorem with sharp estimates, arXiv 1407.4946. Google Scholar; 6. Z. Błocki, Suita conjecture

Zhou. In Chapter 4, various results on the Bergman kernel are presented, including recent works of Maitani-Yamaguchi, Berndtsson, Guan-Zhou, and Berndtsson-Lempert. Most of these results are obtained by the L2 On the other hand, Berndtsson and Lempert [5] show that Theorem 1.3 with optimal estimate in the case of pseudoconvex domains can be deduced from Berndtsson's result on positivity of direct image Bo Berndtsson; list of publications. REFERENCES [1] Zeros of analytic functions of several variables. Ark Mat 16 (1978) [2] A note on Pavlov-Korevaar-Dixon interpolation. Nederl Akad Wetensch Proc , 81 (1978) [3] Integral kernels and approximation on totally real submanifolds of Cn. Math Ann 243 (1979) 2017-06-27 · Submission history From: Genki Hosono [] Tue, 27 Jun 2017 08:41:48 GMT (12kb) [v2] Thu, 9 Aug 2018 11:25:31 GMT (13kb) 2017-12-11 · Complex Legendre duality is a generalization of Legendre transformation from Euclidean spaces to Kähler manifolds that Berndtsson, Cordero-Erausquin, Klartag, and Rubinstein have recently constructed.

10.1. L2- extension of holomorphic sections from a smooth divisor. 45. [4] Berndtsson, B. Curvature of vector bundles associated to holomorphic [14] Berndtsson, B.; Lempert, L. A proof of the Ohsawa-Takegoshi theorem with Bo BERNDTSSON; László LEMPERT: (Department of Mathematics, Chalmers University of Technology; Department of Mathematics, Purdue University) Zhou [6]. In connection to this result, Berndtsson and Lempert show that the. Ohsawa-Takegoshi extension theorem with optimal estimate (at least for the case .

various results on the Bergman kernel are presented, including recent works of Maitani–Yamaguchi, Berndtsson, Guan–Zhou, and Berndtsson–Lempert.

Most of these results are obtained by the L² method. In the last chapter, rather specific results are discussed on the existence and classification of [2] Berndtsson, B. Prekopa’s theorem and Kiselman’s minimum principle for plurisubharmonic functions, Math. Ann., Tome 312 (1998) no.

[2] Berndtsson B. Curvature of vector bundles and subharmonicity of the [5] Lempert L. Solving the degenerate complex Monge-Ampère

Åsa Lempert. March 17, 2013 at 10:29 PM. Vad händer? Jag vinner inte men jag är nyfiken!

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N/A. och Lempert i C2 till Danielewskiytor. Detta innebär att definiera begreppet Tryck: Berndtssons Tryckeri.
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Lewenhaupt - 666 S: Larsson, Stig Peter G K: Berndtsson, Carl Henrik 1941. 72 1 200 S: Lempert-Reimersson, Lisa K: Höök, Lena Maria 1980 147 1 575 000. [2] Berndtsson B. Curvature of vector bundles and subharmonicity of the [5] Lempert L. Solving the degenerate complex Monge-Ampère Efter pausen meddelade lagman Erik Lempert att tingsrätten inte godtar Allan Nielsen och Helge Berntsson) och de tjugofyra äldste ner inför Det har Bernt Olof Berntsson, ordförande Habo finans-spararnas Gösta Lempert har gjort ett reportage för P1 morgon om hur mycket som Helene Berntsson Fd Wilhelmsson facebook.com/helene.berntssonfdwilhelmsson Marie Holmström Lempert facebook.com/marie.lempert. Author: Bo Berndtsson; L. Lempert Published: 2016 Published in: Journal of the Mathematical Society of Japan B. Berndtsson, Subharmonicity of the Bergman kernel and some other functions associated to pseudoconvex domains, Ann. Inst. Fourier, 56 (2006), 1633–1662. Mathematical Reviews (MathSciNet): MR2282671 Digital Object Identifier: doi:10.5802/aif.2223 1464 B. Berndtsson and L. Lempert (we will modify this norm somewhat later).

Complex Legendre duality is a generalization of Legendre transformation from Euclidean spaces to Kähler manifolds that Berndtsson, Cordero-Erausquin, Klartag, and Rubinstein have recently constructed. It is a local isometry of the space of Kähler potentials. We show that the fixed point of such a transformation must correspond to a real analytic Kähler metric.

Fourier , Tome 56 (2006) no. 6, pp. 1633-1662 DOI: 10.2969/JMSJ/06841461 Corpus ID: 119632817. A proof of the Ohsawa–Takegoshi theorem with sharp estimates @article{Berndtsson2014APO, title={A proof of the Ohsawa–Takegoshi theorem with sharp estimates}, author={Bo Berndtsson and L'aszl'o Lempert}, journal={Journal of The Mathematical Society of Japan}, year={2014}, volume={68}, pages={1461-1472} } Bo Berndtsson, L. Lempert Journal of the Mathematical Society of Japan - 2016-01-01 A Brunn–Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler Thus the following Berndtsson{Lempert’s result implies OT Theorem (Berndtsson subharmonicity of the Bergman kernel) F(˚)(r) := log(r2K ˚;D r (0)) is a convex increasing function of log r. Observation (A precise formula) The previous example (in case ˚= jzj2) gives F(˚)00(0) = lim r!0 r 1F(˚)0(r) = ˚ z z(0) = 1 >0; Note. Berndtsson and Lempert [BL16] explain how one can use the curvature prop-erties of pushforwards of adjoint bundles to get a relatively short proof of (one ver-sion of) the Ohsawa-Takegoshi theorem with sharp estimates. This suggests that the two results are not so far from each other.

Asymptotic Berndtsson formula Theorem (First main result) The above asymptotic Berndtsson formula F(˚)00(0) = lim r!0 r 1F(˚)0(r) = ˚ zz (0) is true for every smooth subharmonic ˚on the unit disc. First let us explain where the above formula comes from.