  An involutive distribution $C$ on a smooth manifold $M$ is a Lie-algebroid
acting on sections of the normal bundle $TM/C$. It is known that the
Chevalley-Eilenberg complex associated to this representation of $C$ possesses
the structure $\mathbb{X}$ of a strong homotopy Lie-Rinehart algebra. It is
natural to interpret $\mathbb{X}$ as the (derived) Lie-Rinehart algebra of
vector fields on the space $\mathbb{P}$ of integral manifolds of $C$. In this
paper, I show that $\mathbb{X}$ is embedded in a strong homotopy associative
algebra $\mathbb{D}$ of (normal) differential operators. It is natural to
interpret $\mathbb{D}$ as the (derived) associative algebra of differential
operators on $\mathbb{P}$. Finally, I speculate about the interpretation of
$\mathbb{D}$ as the universal enveloping strong homotopy algebra of
$\mathbb{X}$.
