| 多复变的解析Besov空间上的Toeplitz算子(英文) |
| |
| 引用本文： | 蹇英娟,曹广福.多复变的解析Besov空间上的Toeplitz算子(英文)[J].广州大学学报(自然科学版),2010,9(4):6-9. |
| |
| 作者姓名： | 蹇英娟 曹广福 |
| |
| 作者单位： | 广州大学,数学与信息科学学院,广东,广州,510006 |
| |
| 摘 要： | 将刻画由复测度μ诱导出的Toeplitz算子Tμ作用在单位球的解析Besov空间上是有界或紧的.对1p∞,α-1,μ是n上的复测度,Toeplitz算子Tαμ作用到Bp上是有界的当且仅当测度|Pα,n+1(μ)(z)|p(1-|z|2)p(n+1-α)dυ(z)是一个(Bp,p)-Carleson测度.在同样的条件下,Toeplitz算子Tμα作用到Bp上是紧的当且仅当测度|Pα,n+1(μ)(z)|p(1-|z|2)p(n+1-α)dυ(z)是一个消失的(Bp,p)-Carleson测度.
|
| 关 键 词： | Toeplitz算子 解析 Besov空间 |
Toeplitz operators on analytic Besov spaces of several complex variables |
| |
| JIAN Ying-juan,CAO Guang-fu.Toeplitz operators on analytic Besov spaces of several complex variables[J].Journal og Guangzhou University:Natural Science Edition,2010,9(4):6-9. |
| |
| Authors: | JIAN Ying-juan CAO Guang-fu |
| |
| Abstract: | In this note,we characterize complex measures μ on the unit ball for which the Toeplitz operator Tμ is bounded or compact on the analytic Besov spaces Bpwith 1 ≤p < ∞. We let 1 -1, and let μ be the complex measure. The Toeplitz operator Tμα is bounded on Bp if and only if the measure | Pα,n+1(μ)(z)|p(1-|z|2)p(n+1-α)dv(z)is a (Bp ,p)-Carleson measure. In the same conditions, the Toeplitz operator Tμα is compact on Bp if and only if the measure |Pα,n+1(μ)(z)|p(1-|z|2)p(n+1-α)dv(z)is a vanishing(Bp ,p)-Carleson measure. |
| |
| Keywords: | Toeplitz operator analytic Besov spaces |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
