About this Mathematics article
Weighted theory of Toeplitz operators on the Bergman space by Cody B. Stockdale; Nathan A. Wagner is a Mathematics article available to read on EtoBox.
We study the weighted compactness and boundedness properties of Toeplitz operators on the Bergman space with respect to Békollè-Bonami type weights. Let T u denote the Toeplitz operator on the (unweighted) Bergman space of the unit ball in C n with symbol u ∈ L ∞ . We characterize the compact Toeplitz operators on the weighted Bergman space A p σ for all σ in a subclass of the Békollè-Bonami class B p that includes radial weights and powers of the Jacobian of biholomorphic mappings. Concerning boundedness, we show that T u extends boundedly on L p σ for p ∈ (1, ∞) and weights σ in a u-adapted class of weights containing B p , and we establish analogous weighted endpoint weak-type (1, 1) bounds for weights beyond B 1 .
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Cody B. Stockdale; Nathan A. Wagner
- Publisher
- Springer Science and Business Media LLC
- Published
- 2023
- Language
- EN
- Field
- Mathematics (Physical Sciences)