拟共形映射下不同指数Hardy空间的复合算子

Composition operators of different Hardy spaces under quasiregular mappings

利用拟共形映射的性质,在诱导拟共形映射的逆映射连续可导的前提下,给出了不同指数Hardy空间之间的复合算子有界的充要条件。

By using some properties of quasiconformal mapping,we obtain some sufficient and necessary conditions for the boundedness of composition operators between different Hardy spaces if the inverse of the induced quasiconformal is continuously differentiable.