H-Toeplitz算子的代数性质

Algebraic Properties of H-Toeplitz Operator

本文主要研究 Bergman 空间上 H-Toeplitz 算子的代数性质。第一章介绍了相关的研究背景、基本概念及一些主要结果。第二章给出了本文主要结果的证明,证明了拟齐次符号 H-Toeplitz 算子的复对称性。

In this paper, we mainly study the algebraic properties of H-toeplitz operators on Bergman Spaces. In Chapter 1, we introduce the related research background, basic concepts and some main results. In Chapter 2, the proof of the main results of this paper is given, and the complex symmetry of quasi homogeneous signed H-toeplitz operators is proved.