Analysis Seminar: The compactness of multilinear Calder\’{o}n-Zygmund operators

Speaker: Anastasios Fragkos, Washington University in St. Louis

Abstract: We prove a wavelet $T(1)$ theorem for compactness of multilinear Calder\'{o}n-Zygmund (CZ) operators. Our approach characterizes compactness in terms of testing conditions and yields a representation theorem for compact CZ forms in terms of wavelet and paraproduct forms that reflect the compact nature of the operator. This talk is based on joint work with Walton Green and Brett Wick.