Multilinear Wavelet Compact T(1) Theorem
arXiv:2312.09185
Abstract
We prove a wavelet theorem for compactness of multilinear Calderón-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.
Referee comments incorporated. Final version to appear in Journal d'Analyse Mathématique