G = {(z+w, zw): |z| < 1, |w| < 1}, a domain in C^2.
We prove the equality of the Caratheodory and Kobayashi distances on G and describe the extremal functions for the two problems; they are rational of degree 1 or 2.
J. Agler's work is suported by an NSF grant in Modern Analysis. This work was also supported by an EPSRC Visiting Fellowship.
The preprint is available as a dvi file.
Nicholas Young