Year: 2014
Type: preprint
Abstract: In this paper, we characterise compactness of finite sums of finite products of Toeplitz operators acting on the $\mathbb{C}^{d}$-valued weighted Bergman Space, denoted $A_α^{p}(\mathbb{B}_{n},\mathbb{C}^{d})$. The main result shows that a finite sum of finite product of Toeplitz operators acting on $A_α^{p}(\mathbb{B}_n,\mathbb{C}_d)$ is compact if and only if its Berezin transform vanishes on the boundary of the ball.
Source: arXiv (Cornell University)
Author: Rahm, Robert S.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W2472597648