Complex Monge–Ampère Equations and Geodesics in the Space of Kähler Metrics

Provides an introduction to the theory of complex Monge - Ampere operators on compact Kahler manifolds. This book covers the Dirichlet problem, Monge - Ampere foliations and laminated currents, polynomial hulls and Perron envelopes with no analytic structure, a self-contained presentation of Krylov regularity results, and more.