journal6 ›› 2000, Vol. 21 ›› Issue (3): 33-36.

• Mathematics • Previous Articles     Next Articles

Several Problems on Bloch Type Space of Several Complex Variables


  1. ( Institute of Science, Hunan Normal University, Changsha 410006,Hunan China)
  • Online:2000-09-15 Published:2013-01-16

Abstract: In the paper, the author will discuss the multiplier problem on generalized little Bloch space and Gleason's problem on generalized Bloch space in the unit ball of Cn. The following results are obtained: ( 1) Gleason's result is true on p - Bloch space; ( 2) if 0 ≤ p< 1, then Mβp0) =βp0; ( 3) if p> 1, then M( βp0) = H .

Key words: p- Bloch space, pointwise multiplier, unit ball, Gleasoncs problem

WeChat e-book chaoxing Mobile QQ