Domination of Berezin transform

被引：1

作者：

Das N. ^{[1
]}

Sahoo M. ^{[2
]}

机构：

[1] P.G. Department of Mathematics, Utkal University, Vani Vihar, Bhubaneswar, 751004, Odisha

[2] School of Applied Sciences (Mathematics), KIIT University, Campus-3 (Kathajori Campus), Bhubaneswar, 751024, Odisha

来源：

Vietnam Journal of Mathematics | 2015年 / 43卷 / 3期

关键词：

Berezin transform; Bergman kernel; Bergman space; Positive operators; Toeplitz operators;

D O I：

10.1007/s10013-014-0104-0

中图分类号：

学科分类号：

摘要：

Let 𝔻 be the open unit disk in the complex plane ℂ and (Formula Presented), the normalized area measure on 𝔻. Let (Formula Presented) be the Bergman space consisting of analytic functions on 𝔻 that are also in L2(𝔻, dA). Let (Formula Presented) be the set of all bounded linear operators from the Hilbert space (Formula Presented) into itself. For (Formula Presented), let ӧ denote the Berezin transform of T. In this paper, we find conditions on positive operators (Formula Presented) such that S(z) ≥ T (z) for all z ϵ D. © Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore 2014.

引用

页码：609 / 620

页数：11

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