In this survey we discuss the connection between commutator operators and functions of bounded mean oscillation, and at the same time outline the parallel story of the real Hardy space and weak factorization of these functions. We provide motivation as to why these questions are interesting and highlight the many different methods of proof that exist for proving results of the type discussed.
"Commutators, BMO, Hardy Spaces and Factorization: A Survey." Real Anal. Exchange 45 (1) 1 - 28, 2020. https://doi.org/10.14321/realanalexch.45.1.0001