报告题目：The product of generalized Cauchy singular integral operators

报告人： 桑元琦（西南财经大学）

报告时间：2024年3月29日（周五）下午16：30-17:30

报告地点：数理楼235教室

报告摘要:For bounded measurable functions f,g,u and v on the unit circle, the expression P_{+}fP_{+}+P_{-}gP_{+}+P_{+}u P_{-}+P_{-}v P_{-} is referred to as a generalized Cauchy singular integral operator on L^{2}, where P_{+} is the Riesz projection, P_{-}=I_{L^{2}}-P_{+}. We apply a conclusion of the numerical matrix to a class of operator matrices and obtain a necessary and sufficient condition for the product of two generalized Cauchy singular integral operators to be a generalized Cauchy singular integral operator. As an application, we offer new proofs for various types of operator product problems, including dual truncated Toeplitz operators, singular integral operators, etc.

简介：桑元琦，西南财经大学讲师，主要研究模型空间相关的算子理论问题，研究成果发表在Results Math.，Banach J. Math. Anal.，J. Math. Anal. Appl.,等期刊。主持完成中国博士后基金1项，主持国家自然科学基金青年基金1项。