Resumen de Estimates for the Szegő projection on uniformly finite-type subdomains of C2

Aaron Peterson

• We prove precise growth and cancellation estimates for the Szegő kernel of an unbounded model domain Ω⊂C2 under the assumption that bΩ satisfies a uniform finite-type hypothesis. Such domains have smooth boundaries which are not algebraic varieties, and therefore admit no global homogeneities that allow one to use compactness arguments in order to obtain results.