THE EQUIVALENT CHARACTERIZATION OF F(p,q,s) SPACE ON BOUNDED SYMMETRIC DOMAINS OF C~n

Let ? be a bounded symmetric domain in C~n. The purpose of this article is to define and characterize the general function space F(p,q,s) on ?. Characterizing functions in the F(p,q,s) space is a work of considerable interest nowadays. In this article,the authors give several equivalent descriptions of the functions in the F(p,q,s) space on ? in terms of fractional differential operators. At the same time,the authors give the relationship between F(p,q,s) space and Bloch type space on ? too.