该文讨论了α-Bloch空间βα和对数Bloch空间βL之间的加权Cesáro算子Tg的有界性和紧性,给出Tg是βα到βL的有界算子或紧算子的充要条件和Tg是βL到βα的有界算子或紧算子的充要条件.
In this paper the extended Cesaro operator Tg is characterized between the α-Bloch spacesβαa and the logarithmic weighted Bloch space βL on the unit disc. Some necessary and sufficient conditions are given for Tg to be a bounded operator or a compact operator from βL(βα) to βα(βL).