THE partial deriv-NEUMANN OPERATOR AND THE KOBAYASHI METRIC

摘要

We introduce a condition, called Property -K, which encodes information about the holomorphic structure of fat subdomains. We obtain an equivalence between this condition and the compactness of the partial deriv-Neumann operator in any convex domain. We also exhibit a. local property of the Kobayashi metric under which the domain is locally a product space.