Sharp Sobolev 1/2 Estimates for d-bar equations on strictly pseudo-convex domains with C^2 boundary

讲座时间 Datetime: 2021年6月23日 星期三，10：00-13：00

地点 Venue: 腾讯会议 964 409 224

报告人 Speaker:  师子鸣 助理教授

单位 Affiliation: 新泽西州立罗格斯大学

报告摘要 Abstract:

We give a solution operator for d-bar equation that gains the sharp 1/2 derivative in the Sobolev space H^{s,p} on any strictly pseudo-convex domains with C^2 boundary, for all 1<p<\infty and s>(1/p)-1. The main ingredients used in our proof are Hardy-Littlewood lemma of Sobolev type and estimates for extension operator. Joint work with Liding Yao.