Plurisubharmonic measures and capacities on complex manifolds

CONTENTS Introduction § 1. Extremal plurisubharmonic functions and pluripolar sets in § 2. Plurimeagre sets in § 3. Pluriregularity of sets in § 4. Pluriregularity of polynomially convex compact sets § 5. The -measure and its properties § 6. The connection between an extremal function and the -measure § 7. The operator § 8. Maximal functions and their connection with the operator § 9. The capacitance of condensers and the solution of the first Lelong problem on a Stein manifold § 10. Further capacity characteristics of compact sets in § 11. The -measure of boundary sets and the generalized maximum principle for maximal functions § 12. Conclusion References