F(p,q,s)空间上复合算子的有界性

The boundedness of composition operators in the space F(p,q,s)

研究了空间F(p,q,s)上复合算子Cφ的有界性与其符号函数φ的函数性质之间的关系,利用Carle-son测度给出了Cφ有界的充分条件和必要条件.

It was aimed to find out the relationship between the boundenness of composition Cψ on F（p,q,s） and the function property of ψ. By using the Carleson measure, a sufficient and necessary condition for composition operators to be bounded was given.