Chapter 7

Local Monge–Ampère theory and capacityAB4C5F4E80F4

Bedford–Taylor products, local capacity, and complex Hessian equations.

Sections and subsections

1. 7.1 Bedford–Taylor products and local capacity2F5912FF9FEA
2. 7.2 Bounded potentials and recursive products4272F622A446
3. 7.3 Decreasing continuity and symmetry2CE0DCA46BB5
4. 7.4 Weighted estimates and Monge–Ampère capacityCD19E1C1FD36
5. 7.5 Quasi-continuity and convergence in capacity887374BF3465
6. 7.6 Increasing limits and exceptional envelopesE5550B44EC7B
7. 7.7 The homogeneous Dirichlet problem and balayage22EC1FF0BE9D
8. 7.8 Density lower bounds and mixed products2044B813A798
   1. 7.8.5 Several independent factors7E603FDE8D9A
9. 7.9 The ball Dirichlet problem with continuous density0897D387268D
10. 7.10 Bounded measurable densitiesD4D4A913D86D
11. 7.11 Local energy moments867F8B92120A
    1. 7.11.8 Convergence of energy integrals6293A9FE1CA2
    2. 7.11.16 Capacity convergence and truncated measures7449912C4F37
    3. 7.11.26 A bounded subsolution and the limiting equation7B2778E2F356
    4. 7.11.32 Mixed energy and truncationA4D9C4FF9512
12. 7.12 Mixed products for a common measure07DF7DC201F0
13. 7.13 Bounded complex Hessians and contact setsFB1768F3514F
14. 7.14 Gradients against positive currents166A7FDE3C64