Quantitative stability for the complex Monge-Amp\`ere equations I
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. Furthe...
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2405.17491 |