从Hardy空间到加权Bloch型空间的加权复合算子(英文)

On the Weighted Composition Operators from Hardy Space to the Weighted Bloch Space over the Unit Disc

研究了单位圆上从Hardy空间到α-Bloch空间的加权复合算子uC_φ的有界性和紧性.分别给出从H^p空间到β~α空间和β_0~α空间的算子uC_φ的有界性和紧性的充分和必要条件.

This paper characterizes the boundedness and compactness of the weighted composition operator uC_φfrom Hardy space to theα-Bloch space in the unit disk.Some necessary and sufficient conditions are given for which uC_φis a bounded or a compact operator from H^p toβ~α,β_0~αrespectively.