Bounded and invertible Toeplitz products on vector weighted Bergman spaces of the polydisc
Benoit F. Sehba
TL;DR
This paper characterizes when Toeplitz products are bounded and invertible on vector weighted Bergman spaces of the polydisc, utilizing Békollé-Bonami weights in multiple parameters.
Contribution
It provides a characterization of bounded and invertible Toeplitz products on vector weighted Bergman spaces in the polydisc, extending previous results to multiple parameters.
Findings
Characterization of bounded Toeplitz products
Criteria for invertibility of Toeplitz products
Application of Békollé-Bonami weights in several parameters
Abstract
We characterize bounded and invertible Toeplitz products on vector weighted Bergman spaces of the unit polydisc. For our purpose, we will need the notion of B\'ekoll\'e-Bonami weights in several parameters.
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Taxonomy
TopicsHolomorphic and Operator Theory · Geometry and complex manifolds · Algebraic and Geometric Analysis