William Blair (UArk) 2023 - An Atomic Representation of Hardy Classes of Nonhomogeneous CR Equations

An Atomic Representation for Hardy Classes of Solutions to Nonhomogeneous Cauchy-Riemann Equations.

William Blair is a PhD student at the University of Arkansas, advised by Dr. Andrew Raich. William is expected to graduate in May 2024. In this talk, William presents his recent results concerning a representation by atomic decomposition for boundary values of generalizations of Hardy spaces.

Keywords: Hardy spaces, nonhomogeneous Cauchy-Riemann equations, boundary values in the sense of distributions.

MSC2020: 30H10.