Hardy Factorization in Terms of Multilinear CalderÓN–Zygmund Operators using Morrey Spaces

Abstract

In this paper, we provide a constructive proof of H1(ℝn) factorization in terms of multilinear Calderón–Zygmund operators in Morrey spaces. As a direct application, we obtain a characterization of functions in BMO(ℝn) via commutators of multilinear Calderón–Zygmund operators. Furthermore, we prove a Morrey compactness characterization of [b, T]l, the commutator in the l-th entry.