Dr. Liding Yao is currently a postdoc at the Ohio State University. He got his PhD in 2022 from UW-Madison, advised by Dr. Brian Street. He is currently on the job market.
The Seeley’s extension operator is an operator that extends function defined on the upper half space to the total space Rn using reflection principle. In this talk, Liding gives a construction of such operator which is bounded in all C^k-spaces, Sobolev spaces, Besov and Triebel-Lizorkin spaces. This is his joint work with Haowen Lu.
Keywords: Seeley’s extension, half space extension.