Operator valued BMO and commutators

Resum

If E is a Banach space, b ∈ BMO(Rn, L(E) and T is a L(E)-valued Calderón-Zygmund type operator with operator-valued kernel k, we show the boundedness of the commutator Tb(f) = bT(f) − T(bf) on Lp(Rn,E) for 1 < p < ∞ whenever b and k verify some commuting properties. Some endpoint estimates are also provided.