B~α空间和Q_K空间之间的加权Cesro算子

Extended Cesro Operators between B~α Spaces and Q_K Spaces

讨论了B^α空间和QK空间之间的加权Cesaro算子马的有界性，给出了B^a空间到QK空间的加权Cesaro算子Tg有界的充要条件．另外也给出了QK空间到B^a空间的加权Cesaro算子Tg有界的充要条件．

This paper characterizes the boundedness of the extended Cesaro operators Tg between Ba spaces and QK spaces. Some equivalent conditions are given for Tg to be a bounded operator from Ba to QK. In addition, we also give sufficient and necessary conditions for Tg to be a bounded operator from QK to Ba.