Speaker: Lihan Li (University of Minnesota)
Title: Carleson measure estimates for the Green function
Speaker's URL: https://sites.google.com/brown.edu/linhan-li/home
Abstract: Carleson measure estimates for the Green function Abstract: We are interested in the relations between an elliptic operator on a domain, the geometry of the domain, and the boundary behavior of the Green function. In a joint work with Guy David and Svitlana Mayboroda, we show that if the coefficients of the operator satisfy a quadratic Carleson condition, then the Green function on the half-space is almost affine, in the sense that the normalized difference between the Green function with a sufficiently far away pole and a suitable affine function at every scale satisfies a Carleson measure estimate. We demonstrate with counterexamples that our results are optimal, in the sense that the class of the operators considered is essentially the best possible.
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Zoom Link: https://osu.zoom.us/j/6146883919?pwd=M2hHVnFaMjVMb1pYT2FFZGdEVDIwdz09
Meeting ID: 6146883919