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

DOI10.4171/JEMS/927zbMath1441.46020arXiv1607.06306MaRDI QIDQ2302432

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

Publication date: 26 February 2020

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.06306

zbMATH Keywords

Legendre transformMonge-Ampère equationconvex analysiscomplex interpolationconvex geometry

Mathematics Subject Classification ID

Interpolation between normed linear spaces (46B70) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (5)

The isometries of the space of Kähler metrics ⋮ Griffiths extremality, interpolation of norms, and Kähler quantization ⋮ A zoo of dualities ⋮ A Dirichlet problem in noncommutative potential theory ⋮ Interpolation, Prekopa and Brunn-Minkowski for \(F\)-subharmonicity

Cites Work

• Interpolation of Banach spaces, differential geometry and differential equations
• Polynomial hulls with convex fibers and complex geodesics
• The Carathéodory and Kobayashi/Royden metrics by way of dual extremal problems
• Polynomial Hulls with Convex Sections and Interpolating Spaces
• Complex Monge-Ampere and Symplectic Manifolds

This page was built for publication: Complex interpolation of \(\mathbb R\)-norms, duality and foliations