(12月28日）Holder estimates for homotopy operators on strictly pseudoconvex domains with C^2 boundary

Title: Holder estimates for homotopy operators on strictly pseudoconvex domains with C^2 boundary

Speaker: Professor Xianghong Gong (University of Wisconsin-Madison)

Abstract: We derive a new homotopy formula for a strictly pseudoconvex domain of C^2 boundary in the complex Euclidean spaces for the d-bar operator. We obtain estimates for the homotopy operator gaining 1/2 derivative in the Holder-Zygmund spaces.  We apply the estimates to obtain boundary regularities of D-solutions for a domain in the Levi-flat Euclidean spaces.