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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.

What is Weighted theory of Toeplitz operators on the Bergman space about?

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 .

Who reads Weighted theory of Toeplitz operators on the Bergman space?

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)

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