%0 Journal Article
%T 加权Bergman空间上Toeplitz算子的乘积的有限和问题<br>The Finite Sum Problem of the Product of Toeplitz Operators on Weighted Bergman Spaces
%A 关印
%A 崔姝宁
%A 王焕然
%J Pure Mathematics
%P 488-492
%@ 2160-7605
%D 2020
%I Hans Publishing
%R 10.12677/PM.2020.105059
%X <p align=\"justify\">
	函数空间算子理论一直是泛函分析研究中的一个重要分支之一。本文研究了加权Bergman空间上Toeplitz算子T<sub>φ</sub><sup>2</sup>，其中φ(re)<sup>iθ</sup>=e<sup>isθ</sup>φ<sub>0</sub>(r)，且δ∈Z，δ&lt;0，φ<sub>α</sub>(r)∈？<sub>α</sub>为亚正规算子的一个必要条件。<br />
Function space operator theory has always been one of the important branches in functional analysis research. This paper studies Toeplitz operator in weighted Bergman space T<sub>φ</sub><sup>2</sup>, in which φ(re)<sup>iθ</sup>=e<sup>isθ</sup>φ<sub>0</sub>(r), and δ∈Z, δ&lt;0; φ<sub>α</sub>(r)∈？<sub>α</sub> is a necessary condition for subnormal operator.
</p>
%K 加权Bergman空间，Toeplitz算子，亚正规，Mellin变换<br>Weighted Bergman Space
%K Toeplitz Operator
%K Subnormal
%K Mellin Transform
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=35589