Abstract:

In this paper ,teh fundementai question of teh funtion theory of several complex variables if two bounded  domains are biholomorphically equivalent are studied.The symmetric classical  domain can not biholomorphically equivalent to a smooth bounded strictly pseudoconvex domain espect taht itself is a smoth bounded strictly pseudoconvex domain .

Key words: Strictly pseudoconvex domain , Bergman kernel function, BIholomorphic mapping, Symmetic classical domains