4 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 o…
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…
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…
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…