Interpolation of weighted extremal functions

DOI10.1007/s40598-021-00175-xzbMath1490.32004arXiv1903.03442OpenAlexW3136563398MaRDI QIDQ823830

Alexander Rashkovskii

Publication date: 16 December 2021

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03442

zbMATH Keywords

Brunn-Minkowski inequalityrelative extremal functioncoconvex setsplurisubharmonic geodesic

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) General pluripotential theory (32U15) Capacity theory and generalizations (32U20)

Cites Work

• Unnamed Item
• Unnamed Item
• Complex Monge-Ampère equations and geodesics in the space of Kähler metrics. Lecture notes
• Polyedres de Newton et nombres de Milnor
• On modified Mabuchi functional and Mabuchi moduli space of Kähler metrics on toric bundles
• Santaló's inequality on \(\mathbb{C}^n\) by complex interpolation
• Geometry and topology of the space of plurisubharmonic functions
• Local geodesics for plurisubharmonic functions
• Plurisubharmonic geodesics and interpolating sets
• On the theory of coconvex bodies
• Convex bodies and multiplicities of ideals
• Higher Lelong numbers and convex geometry
• Tropical analysis of plurisubharmonic singularities
• Newton numbers and residual measures of plurisubharmonic functions
• Width asymptotics for a pair of Reinhardt domains
• Copolar convexity
• Interpolations, Convexity and Geometric Inequalities
• Intermediate spaces and interpolation, the complex method