【摘要】 该文主要研究C~n单位球中F(p,q,s)空间上的原子分解,而F(p,q,s)空间包含许多重要的函数空间,比如Bloch空间、BMOA空间和近年来新引入的Q_s空间.该文主要借助s-Carleson测度和Schur定理研究了C~n单位球中F(p,q,s)空间在1<p<∞情形下的原子分解.更多还原

【Abstract】 This paper is devoted to studying the decomposition of functions of F(p,q,s) spaces in the unit ball of C~n,which contain many classical function spaces,such as Bloch space,BMOA space and Q_s spaces.By means of s-Carleson measure and Schur’s Theorem,we characterize the decomposition theorems for F(p,q,s) spaces in the unit ball of C~n for the case of 1<p<∝∞.更多还原