2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73528Journe's Lemma is a critical component of many questions related to the product ${BMO}$ theory of S.-Y. Chang and R. Fefferman. This article presents several different variants of the Lemma, some known, some implicit in the literature, and some new.27 pages ; 17 references; To appear in Houston Journal of MathematicsClassical Analysis and ODEsVariations on the Theme of Journe's Lemmatext