摘要
It is proved that the Bergman type operator T<sub>?</sub> is a bounded projection from the pluriharmonic Bergman space L<sup>p</sup>（B）∩h（B） onto Bergman space L<sup>p</sup>（B）∩H（B） for 0【p【1 and s】(p<sup>-1</sup>-1)（n+1）. As an application it is shown that the Gleason’s problem can be solved in Bergman space L<sup>P</sup>（B）∩H（B） for 0【p【1.
It is proved that the Bergman type operatorT, is a bounded projection from the pluriharmonic Bergman spaceL p (B)∩h(B) onto Bergman spaceL p (B) ∩ H(B) for 0p 1 ands (p1-1)(n+1). As an application it is shown that the Gleason’s problem can be solved in Bergman space LP(B)∩H(B) for 0p 1.
基金
Project supported by the National Natural Science Foundation of China (Grant No. 19871081)
the Doctoral Program Foundation of the State Education Commission of China
