EN
We study the holomorphic Hardy-Orlicz spaces $𝓗 ^{Φ}(Ω)$, where Ω is the unit ball or, more generally, a convex domain of finite type or a strictly pseudoconvex domain in ℂⁿ. The function Φ is in particular such that $𝓗 ¹(Ω)⊂ 𝓗 ^{Φ}(Ω)⊂ 𝓗 ^{p}(Ω)$ for some p > 0. We develop maximal characterizations, atomic and molecular decompositions. We then prove weak factorization theorems involving the space BMOA(Ω). As a consequence, we characterize those Hankel operators which are bounded from $𝓗 ^Φ(Ω)$ into 𝓗 ¹(Ω).