1.The Bergman kernal functions on Cartan-Hartogs domains are obtained in explicit formulas by Yin Weiping, so we can easily prove that Y_I is a bounded pseudo-convex domain.
2.It is proved that for a mapping f∈F of Uδ onto a domain Ω , for a C 1 arc γ in the boundary of Ω which is convex with respect to Ω , γ must be a line segment if |a(z n)|→1 for any point ζ∈γ and any sequence ζ n→ζ in Ω with ζ n=f(z n) .
