Moser-Trudinger type inequalities for complex Monge-Ampère operators and Aubin's ``hypothèse fondamentale

DOI10.5802/afst.1704arXiv1109.1263WikidataQ114013490 ScholiaQ114013490MaRDI QIDQ6173832

Bo Berndtsson, Robert J. Berman

Publication date: 13 July 2023

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.1263

zbMATH Keywords

Kähler manifoldsFano manifoldspseudoconvex domainsMoser-Trudinger type inequalities

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Variational methods for second-order elliptic equations (35J20) Complex Monge-Ampère operators (32W20) Strongly pseudoconvex domains (32T15)

Related Items

Plurisubharmonic geodesics and interpolating sets ⋮ On the residual Monge-Ampère mass of plurisubharmonic functions with symmetry in \(\mathbb{C}^2\) ⋮ On \(L^\infty\) estimates for complex Monge-Ampère equations ⋮ Moser-Trudinger inequality for the complex Monge-Ampère equation ⋮ Geometry and topology of the space of plurisubharmonic functions ⋮ The volume of Kähler-Einstein Fano varieties and convex bodies ⋮ Onofri inequalities and rigidity results ⋮ Poincaré- and Sobolev- type inequalities for complex \(m\)-Hessian equations ⋮ On the Moser-Trudinger inequality in complex space ⋮ A volume stability theorem on toric manifolds with positive Ricci curvature

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