Quantitative stability for the complex Monge-Amp\`ere equations I

Autor: Do, Hoang-Son, Vu, Duc-Viet
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We generalize several known stability estimates for complex Monge-Amp\`ere equations to the setting of low (or high) energy potentials. We apply our estimates to obtain, among other things, a quantitative domination principle, and metric properties of the space of potentials of finite energy. Further applications will be given in subsequent papers.
Comment: Part I of arXiv:2209.00248, to appear in Analysis & PDE
Databáze: arXiv