Analysis Seminar: "Cauchy transform and the d-bar equation on product spaces."
Abstract: In this talk, we will go over the classical Cauchy formula, then generalize it to a higher dimensional version on polydisc. Meanwhile, this formula provides a solution operator to the d-bar equation on product spaces. Using this operator, we obtain Sobolev, some special Lp, and some special Holder regularities of the solution.
Host: Brett Wick