国家天元数学中部中心Colloquium报告 | Assoc. Prof. Hicham Arroussi (Reading University,University of Eastern Finland )

发布时间: 2025-09-03 11:48

报告题目:Estimates for the derivatives of the Bergman kernel in large Bergman spaces and applications to operator theory

报告时间:2025-09-21   10:30-11:30

报  告 人 :Assoc. Prof. Hicham Arroussi   (Reading University,University of Eastern Finland)

报告地点:雷军科技楼三楼报告厅(349)

Abstract:

We characterize the boundedness, compactness, and Schatten class membership of the generalized weighted composition operator between exponentially weighted Bergman spaces. We also obtain estimates for the norm of the derivatives of the corresponding reproducing kernel and describe bounded and compact differentiation operators, which generalize the embedding theorems of Luecking and the criteria for bounded and compact Carleson measures. Joint work with J. Taskinen and J. Virtanen.