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math.CV2026
Weak-type estimates for the Bergman projection on planar domains
A. Walton Green, Cody B. Stockdale, Brandon Sweeting +1
We investigate the relationship between the weak-type regularity of the Bergman projection, , of a simply connected domain and the boundary geometry of $…
math.CV2023
Weighted estimates for the Bergman projection on planar domains
A. Walton Green, Nathan A. Wagner
We investigate weighted Lebesgue space estimates for the Bergman projection on a simply connected planar domain via the domain's Riemann map. We extend the bounds which follow from…
math.CV2021
Dominating Sets in Bergman Spaces on Strongly Pseudoconvex Domains
Walton Green, Nathan Wagner
We obtain local estimates, also called propagation of smallness or Remez-type inequalities, for analytic functions in several variables. Using Carleman estimates, we obtain a three…