Zu Chongzhi Mathematics Research Seminar

Date and Time (China standard time): Wednesday, November 8, 9:00-10:00 am

Zoom: 929 8010 2966; Passcode: dkumath

Title: Compactness of Toeplitz operators with symbols continuous on the closure

Speaker: Sönmez Şahutoğlu

Bio: Dr. Sönmez Şahutoğlu is a professor from University of Toledo. He obtained his PhD from Texas A&M University in 2006. After his graduation, Dr. Şahutoğlu worked as a postdoc at University of Michigan. He joined University of Toledo as an assistant professor in 2009 and has been there since then. Dr. Şahutoğlu’s research lies in the field of several complex variables and operator theory. His work has been published in prestigious journals including Mathematische Annalen, Journal of Functional Analysis, Journal of Geometric Analysis, and Proceedings of AMS.

Abstract: 

Let $\Omega$ be a bounded pseudoconvex domain in $\mathbb{C}^n$ with Lipschitz boundary and $\phi$ be a continuous function on $\overline{\Omega}$. We show that the Toeplitz operator $T_{\phi}$ is compact on the weighted Bergman space if and only if $\phi$ vanishes on the boundary of $\Omega$. Time permitting ,we will talk about a version of the theorem on $\overline{\partial}$-closed differential forms. This is joint work with Tomas Rodriguez.