An Analytic Invariant of the Bounded Domains in Space Cn

Abstract:

      The main results of the present paper are: For any bounded D in space Cⁿ, there is an analytic invariant λ(D)(≤1). If D is a transitive domain, then λ(D)<1 and k₀(D)=(λ(D))/(1-λ(D)), where k₀(D) is the Schwarz constant of domain D (cf[1]). And we have discussed the Characteristic properties of λ(D).