University of California，Ph.D John Treuer学术报告 7月6日下午

such that \dbar f = 0, is there  a function u \in C^infty

(0,0)(\overline{D}) so that \dbar u = f? It is

well-known that this question can be answered affirmatively using L^2-methods. I will present a less well-known solution for strictly convex domains and time-pending

strictly-pseudoconvex domains using Cauchy-Fantappie methods. The Cauchy-Fantappie

approach has the advantage that the solution u to the equation \dbar u = f can some2018-07-06 (星期五) 14:30 ~ 2018-07-06 (星期五) 17:00 be written completely explicitly, which is not true for the L^2-method approach. The talk will be mainly based on papers written by R. Michael Range. The talk will be given in English.