在复分析与算子理论中，Carleson测度和Toeplitz算子既是研究很多问题的工具，也是重要的研究对象。有限型凸域是多复变函数论中一类非常重要的域。本文利用光滑有界的有限型凸域中Bergman核的估计和Kobayashi度量的一些性质，研究了有限型凸域中的Bergman空间上的 ...

We compute the Dixmier trace of pseudo-Toeplitz operators on the Fock space. As an application we find a formula for the Dixmier trace of the product of commutators of Toeplitz operators on the Hardy ...

Let R denote the annulus $\{z: \frac{1}{2} < |z| < 1\}$ and let π be a holomorphic universal covering map from the unit disk onto R. It is shown that if π is a function of an inner function ω, that is ...

Fock spaces serve as a fundamental framework in both mathematical analysis and quantum theory, providing a rich setting for the study of entire functions equipped with Gaussian weights. In operator ...