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Simultaneous Stabilization for a Family of Plants
  • 期刊名称:Journal of Mathematical Research & Exposition
  • 时间:0
  • 页码:529-534
  • 语言:中文
  • 分类:O177.1[理学—数学;理学—基础数学]
  • 作者机构:[1]School of Mathematical Sciences,Dalian University of Technology,Dalian,116024, [2]College of Sciences,Shenyang Agricultural University,Shenyang,110866, [3]School of Science,Dalian Jiaotong University,Dalian,116028
  • 相关基金:The NSF (10671028) of China
  • 相关项目:Bergman 空间与Toeplitz 算子的一些相关问题
中文摘要:

在这份报纸,我们主要在联合起来的球的加权的 Bergman 空格与 square-integrable 符号考虑小 Hankel 操作员。我们获得小 Hankel 操作符的那个 Schatten 类在条件下面等价于积极 Toeplitz 操作符的 Schatten 班那 SMO (f) LP/2 (Bn, d ) 并且 2 p < ,它是很重要的研究在 Toeplitz 操作符和小 Hankel 操作符之间的关系。

英文摘要:

In this paper we mainly consider little Hankel operators with squareintegrable symbols on the weighted Bergman spaces of the unit ball.We obtain that Schatten class of little Hankel operators is equivalent to Schatten class of positive Toeplitz operators under the conditions that SMO(f) ∈ L p/2 (B n,dλ) and 2 ≤ p ∞,which is very important to research the relation between Toeplitz operators and little Hankel operators.

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