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Diviseurs d'aire Bornée dans la boule de C2: réflexions sur un article de Bo Berndtsson.

Autor: Dold, A., Eckmann, B., Lelong, Pierre, Skoda, Henri, Skoda, H.

Publikováno v: Seminaire Pierre Lelong - Henri Skoda (Analyse) Annees 1978/79; 1980, p238-251, 14p

Moser–Trudinger type inequalities for complex Monge–Ampère operators and Aubin’s 'hypothèse fondamentale'

Autor: Robert J. Berman, Bo Berndtsson

Publikováno v: Annales de la Faculté des sciences de Toulouse : Mathématiques. 31:595-645

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c96130d470409006a426ece95841e3fe
https://doi.org/10.5802/afst.1704

Complex Legendre duality

Autor: Bo'az Klartag, Yanir A. Rubinstein, Dario Cordero-Erausquin, Bo Berndtsson

Publikováno v: American Journal of Mathematics
American Journal of Mathematics, Johns Hopkins University Press, 2020, 142 (1), pp.323-339. ⟨10.1353/ajm.2020.0008⟩

We introduce complex generalizations of the classical Legendre transform, operating on K\"ahler metrics on a compact complex manifold. These Legendre transforms give explicit local isometric symmetries for the Mabuchi metric on the space of K\"ahler

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97b6c08082ac1bfaac396044f665a547
https://doi.org/10.1353/ajm.2020.0008

Complex interpolation of $\mathbb R$-norms, duality and foliations

Autor: Bo'az Klartag, Dario Cordero-Erausquin, Bo Berndtsson, Yanir A. Rubinstein

Publikováno v: Journal of the European Mathematical Society. 22:477-505

The complex method of interpolation, going back to Calderon and Coifman et al., on the one hand, and the Alexander–Wermer–Slodkowski theorem on polynomial hulls with convex fibers, on the other hand, are generalized to a method of interpolation o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2e9ebc5e2a6bae67daeaed3dd3fe821d
https://doi.org/10.4171/jems/927