Affiliation:
1. Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea
2. Department of Mathematics, Indiana University East, Richmond, IN 47374, USA
Abstract
LetΩbe a smoothly bounded pseudoconvex domain inC3and assume thatz0∈bΩis a point of finite 1-type in the sense of D’Angelo. Then, there are an admissible curveΓ⊂Ω∪{z0}, connecting points q0∈Ωandz0∈bΩ, and a quantityM(z,X), alongz∈Γ, which bounds from above and below the Bergman, Caratheodory, and Kobayashi metrics in a small constant and large constant sense.
Subject
Applied Mathematics,Analysis