关于多复变中Bloch 型空间的几个问题

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

关于多复变中Bloch 型空间的几个问题

(湖南师范大学理学院, 湖南长沙 410006)

出版日期:2000-09-15 发布日期:2013-01-16
作者简介:张学军( 1964~ ) ,男, 湖南桃源人,湖南师范大学理学院讲师,主要从事函数论方向研究.
基金资助:
国家自然科学基金资助项目( 19871026)

Several Problems on Bloch Type Space of Several Complex Variables

( Institute of Science, Hunan Normal University, Changsha 410006,Hunan China)

Online:2000-09-15 Published:2013-01-16

摘要/Abstract

摘要：讨论了 Cⁿ中单位球B_n上广义 Bloch问题, 广义小Bloch 空间上的乘子问题, 得到: ( 1) Gleason 结论在β^p上成立; ( 2) 0≤ p < 1 时, M( β^p₀) =β^p₀ ; ( 3) p > 1时, M( β^p₀ ) = H .

关键词： p-Bloch 空间, 点乘子, 单位球, Gleason问题

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 M( β^p₀) =β^p₀; ( 3) if p> 1, then M( β^p₀) = H .

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

张学军. 关于多复变中Bloch 型空间的几个问题[J]. journal6, 2000, 21(3): 33-36.

ZHANG Xue-Jun. Several Problems on Bloch Type Space of Several Complex Variables[J]. journal6, 2000, 21(3): 33-36.