  We prove that for any operator $T$ on $ \ell^\infty(H^1 (\bT))$, the identity
factores through $T$ or $\Id - T$.
  We re-prove analogous results of H.M. Wark for the spaces
$\ell^infty(H^p(\bT))$, $1<p <\infty$. In the present paper direct
combinatorics of colored dyadic intervals replaces the dependence on
Szemeredi's theorem in the work of H. M. Wark.
