2 citations · 2 across the 8 of their papers we have counts for
8 papers
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 $…
An Theorem for One-Sided Calderón-Zygmund Operators
A. Walton Green, Ljupcho Petrov, Brett D. Wick
We present a proof of the one-sided theorem in dimension one, with a logarithmic loss. This theorem concerns one-sided Calderón-Zygmund operators (CZOs) whose kernels $K(x,y)…
On the dimension of observable sets for the heat equation
A. Walton Green, Kévin Le Balc'h, Jérémy Martin +1
We consider the heat equation on a bounded domain in with Dirichlet boundary conditions. The primary aim of this paper is to prove that the heat equation is ob…
Multilinear paraproducts on Sobolev spaces
Francesco Di Plinio, A. Walton Green, Brett D. Wick
Paraproducts are a special subclass of the multilinear Calderón-Zygmund operators, and their Lebesgue space estimates in the full multilinear range are characterized by the $\mathr…
Multilinear Wavelet Compact T(1) Theorem
Anastasios Fragkos, A. Walton Green, Brett D. Wick
We prove a wavelet theorem for compactness of multilinear Calderón-Zygmund (CZ) operators. Our approach characterizes compactness in terms of testing conditions and yields a…
Quantitative Sobolev regularity of quasiregular maps
Francesco Di Plinio, A. Walton Green, Brett D. Wick
We quantify the Sobolev space norm of the Beltrami resolvent , where is the Beurling-Ahlfors transform, in terms of the corresponding Sobolev s…
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…
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…