Hardy-Sobolev空间上的投影Toeplitz算子

Projection Toeplitz operators on Hardy-Sobolev spaces

介绍了Hardy-Sobolev空间及其算子与算子代数研究方面的工作,主要刻画了具有某些特殊符号的Toeplitz算子在单位球的Hardy-Sobolev空间中为投影算子时的特征,并且进一步考虑了具有某种连续多重调和符号的Toeplitz算子乘积在单位球的Hardy-Sobolev空间中为投影算子的等价条件.

This paper introduces the research work of operators and operator algebras on Hardy-Sobolev spaces.The characteristics of the Toeplitz operators with special symbols as projection operators on the Hardy-Sobolev space of the unit ball are characterized.The equivalent conditions when the product of Toeplitz operators with some continuous pluriharmonic symbols is a projection on the Hardy-Sobolev space of the unit ball are considered.