Symmetrization of plurisubharmonic and convex functions

DOI10.1512/iumj.2014.63.5209zbMath1318.32038arXiv1204.0931OpenAlexW2964220720MaRDI QIDQ5174988

Robert J. Berman, Bo Berndtsson

Publication date: 19 February 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.0931

zbMATH Keywords

convex functionsplurisubharmonic functionsSchwarz symmetrizationMonge-Ampère energy

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05)

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Complex Brunn-Minkowski inequalities and their applications in geometry ⋮ Symmetrization of plurisubharmonic functions and Fano manifolds ⋮ On the residual Monge-Ampère mass of plurisubharmonic functions with symmetry in \(\mathbb{C}^2\) ⋮ Moser-Trudinger type inequalities for complex Monge-Ampère operators and Aubin's ``hypothèse fondamentale ⋮ Finite entropy vs finite energy ⋮ On a characterization of $m$-subharmonic functions with weak singularities ⋮ On the Moser-Trudinger inequality in complex space ⋮ Ensemble equivalence for mean field models and plurisubharmonicity

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