Isomorphism of spaces of analytic functions on n-circular domains

The space A(D) of all analytic functions in a complete n-circular do- main D in Cn; n 2; is considered with a natural Fréchet topology. Some su¢ cient conditions for the isomorphism of such spaces are ob- tained in terms of certain subtle geometric characteristic of domains D. This investigation complements essentially the second authors result [8] on necessary geometric conditions of such isomorphisms.