Hardy空间上的非游荡复合算子

Nonwandering composition operators on Hardy space

非游荡算子是一种新型的混沌算子,证明在经典的Hardy空间(H2)上,由双曲线性映射诱导的复合算子是非游荡的,而且进一步证明该结论在更一般空间Hp和Bp上成立。

Nonwandefing operator is a new kind of chaotic operator. It was proved that composition operators induced by holomorphic map was a nonwandering operator on Hardy space. Furthermore, it was proved that the result also rtms on H^p and B^p .