C^n单位球中F(p,q,s)空间上的原子分解

Decomposition Theorems for F(p,q,s) Spaces on the Unit Ball of C^n

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.

This paper is devoted to studying the decomposition of functions of F（p, q, s） spaces in the unit ball of Cn, which contain many classical function spaces, such as Bloch space, BMOA space and Qs 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 Cn for the case of i 〈 p 〈 ∞.